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Asymptotic behaviour of solutions and free boundaries of the anisotropic
slow diffusion equation
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2024
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Filomena Feo
Juan Luís Vázquez
Bruno Volzone
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Singular solutions for space-time fractional equations in a bounded domain
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2024
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Hardy Chan
David Gómez‐Castro
Juan Luís Vázquez
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The very singular solution for the Anisotropic Fast Diffusion Equation and its consequences
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2024
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Juan Luís Vázquez
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Nonlinear aggregation-diffusion equations with Riesz potentials
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2024
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Yanghong Huang
Edoardo Mainini
Juan Luís Vázquez
Bruno Volzone
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LuminLab: An AI-Powered Building Retrofit and Energy Modelling Platform
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2024
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Kevin Credit
Qian Xiao
Jack Lehane
Juan Luís Vázquez
Dan Liu
Leo De Figueiredo
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Anisotropic fast diffusion equations
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2023
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Filomena Feo
Juan Luís Vázquez
Bruno Volzone
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Evolution driven by the infinity fractional Laplacian
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2023
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Félix del Teso
Jørgen Endal
Espen R. Jakobsen
Juan Luís Vázquez
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Singular solutions for space-time fractional equations in a bounded domain
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2023
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Hardy Chan
Juan Luís Vázquez
David Gómez‐Castro
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The very singular solution for the Anisotropic Fast Diffusion Equation and its consequences
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2023
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Juan Luís Vázquez
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A survey on mass conservation and related topics in nonlinear diffusion
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2023
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Juan Luís Vázquez
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Singular boundary behaviour and large solutions for fractional elliptic equations
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2022
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Nicola Abatangelo
David Gómez‐Castro
Juan Luís Vázquez
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PDF
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Singular solutions for fractional parabolic boundary value problems
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2022
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Hardy Chan
David Gómez‐Castro
Juan Luís Vázquez
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+
PDF
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A fast regularisation of a Newtonian vortex equation
|
2022
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José A. Carrillo
David Gómez‐Castro
Juan Luís Vázquez
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PDF
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Asymptotic behaviour for the heat equation in hyperbolic space
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2022
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Juan Luís Vázquez
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+
PDF
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Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility
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2022
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José A. Carrillo
David Gómez‐Castro
Juan Luís Vázquez
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Nonlinear aggregation-diffusion equations with Riesz potentials
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2022
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Yanghong Huang
Edoardo Mainini
Juan Luís Vázquez
Bruno Volzone
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Evolution Driven by the Infinity Fractional Laplacian
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2022
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Félix del Teso
Jørgen Endal
Espen R. Jakobsen
Juan Luís Vázquez
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Infinite-time concentration in aggregation–diffusion equations with a given potential
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2021
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José A. Carrillo
David Gómez‐Castro
Juan Luís Vázquez
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Growing solutions of the fractional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e47" altimg="si10.svg"><mml:mi>p</mml:mi></mml:math>-Laplacian equation in the Fast Diffusion range
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2021
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Juan Luís Vázquez
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A simple proof of the generalized Leibniz rule on bounded Euclidean domains
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2021
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Quoc‐Hung Nguyen
Yannick Sire
Juan Luís Vázquez
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Three Representations of the Fractional p-Laplacian: Semigroup, Extension and Balakrishnan Formulas
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2021
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Félix del Teso
David Gómez‐Castro
Juan Luís Vázquez
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Anisotropic 𝑝-Laplacian Evolution of Fast Diffusion Type
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2021
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Filomena Feo
Juan Luís Vázquez
Bruno Volzone
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PDF
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The fractional p-Laplacian evolution equation in $${\mathbb {R}}^N$$ in the sublinear case
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2021
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Juan Luís Vázquez
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Anisotropic p-Laplacian Evolution of Fast Diffusion type
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2021
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Filomena Feo
Juan Luís Vázquez
Bruno Volzone
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Infinite-time concentration in Aggregation--Diffusion equations with a given potential.
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2021
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José A. Carrillo
David Gómez‐Castro
Juan Luís Vázquez
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PDF
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Characterisation of homogeneous fractional Sobolev spaces
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2021
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Lorenzo Brasco
David Gómez‐Castro
Juan Luís Vázquez
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Growing Solutions of the fractional $p$-Laplacian equation in the Fast Diffusion Range
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2021
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Juan Luís Vázquez
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Remembering Louis Nirenberg and his mathematics
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2021
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Juan Luís Vázquez
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Anisotropic p-Laplacian Evolution of Fast Diffusion type
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2021
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Filomena Feo
Juan Luís Vázquez
Bruno Volzone
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Growing Solutions of the fractional $p$-Laplacian equation in the Fast Diffusion Range
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2021
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Juan Luís Vázquez
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PDF
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Blow-up phenomena in nonlocal eigenvalue problems: When theories of L1 and L2 meet
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2020
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Hardy Chan
David Gómez‐Castro
Juan Luís Vázquez
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PDF
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The one-phase fractional Stefan problem
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2020
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Félix del Teso
Jørgen Endal
Juan Luís Vázquez
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The fractional p-Laplacian evolution equation in $\mathbb{R}^N$ in the sublinear case
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2020
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Juan Luís Vázquez
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A simple proof of the generalized Leibniz rule on bounded Euclidean domains
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2020
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Quoc‐Hung Nguyen
Yannick Sire
Juan Luís Vázquez
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Characterisation of homogeneous fractional Sobolev spaces
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2020
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Lorenzo Brasco
David Gómez‐Castro
Juan Luís Vázquez
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The evolution fractional p-Laplacian equation in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e73" altimg="si8.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>. Fundamental solution and asymptotic behaviour
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2020
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Juan Luís Vázquez
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Estimates on translations and Taylor expansions in fractional Sobolev spaces
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2020
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Félix del Teso
David Gómez‐Castro
Juan Luís Vázquez
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Workshop Honoris Causa Alessio Figalli - Elliptic and parabolic equations of fractional nonlocal type
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2020
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Juan Luís Vázquez
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Estimates on translations and Taylor expansions in fractional Sobolev spaces
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2020
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Félix del Teso
David Gómez‐Castro
Juan Luís Vázquez
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Blow-up phenomena in nonlocal eigenvalue problems: when theories of $L^1$ and $L^2$ meet
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2020
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Hardy Chan
David Gómez‐Castro
Juan Luís Vázquez
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PDF
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Separatrices in the Hamilton–Jacobi formalism of inflaton models
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2020
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Gabriel Álvarez
Luis Martı́nez Alonso
Елена Медина
Juan Luís Vázquez
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On the Two-phase Fractional Stefan Problem
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2020
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Félix del Teso
Jørgen Endal
Juan Luís Vázquez
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Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular domains
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2020
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Alessandro Audrito
Juan Luís Vázquez
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On the two-phase fractional Stefan problem
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2020
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Félix del Teso
Jørgen Endal
Juan Luís Vázquez
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PDF
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On a fractional thin film equation
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2020
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Antonio Segatti
Juan Luís Vázquez
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The evolution fractional p-Laplacian equation in $\mathbb{R}^N$. Fundamental solution and asymptotic behaviour
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2020
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Juan Luís Vázquez
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+
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The fractional p-Laplacian evolution equation in $\mathbb{R}^N$ in the sublinear case
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2020
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Juan Luís Vázquez
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+
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A simple proof of the generalized Leibniz rule on bounded Euclidean domains
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2020
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Quoc-Hung Nguyen
Yannick Sire
Juan Luís Vázquez
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+
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On the two-phase fractional Stefan problem
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2020
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Félix del Teso
Jørgen Endal
Juan Luís Vázquez
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+
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Singular solutions for fractional parabolic boundary value problems
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2020
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Hardy Chan
David Gómez‐Castro
Juan Luís Vázquez
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+
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Anisotropic Fast Diffusion Equations
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2020
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Filomena Feo
Juan Luís Vázquez
Bruno Volzone
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+
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The one-phase fractional Stefan problem
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2019
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Félix del Teso
Jørgen Endal
Juan Luís Vázquez
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+
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Elliptic and parabolic equations of fractional nonlocal type
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2019
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Juan Luís Vázquez
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Regularity of Solutions and Interfaces to Degenerate Parabolic Equations. The Intersection Comparison Method
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2019
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В. А. Галактионов
Sergey Shmarev
Juan Luís Vázquez
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Existence of Weak Solutions for a General Porous Medium Equation with Nonlocal Pressure
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2019
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Diana Stan
Félix del Teso
Juan Luís Vázquez
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PDF
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Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications
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2019
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Mikko Parviainen
Juan Luís Vázquez
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On a fractional thin film equation
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2019
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Antonio Segatti
Juan Luís Vázquez
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+
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Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular domains.
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2019
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Alessandro Audrito
Juan Luís Vázquez
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+
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The fractional Schrödinger equation with singular potential and measure data
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2019
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David Gómez‐Castro
Juan Luís Vázquez
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+
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A fast regularisation of a Newtonian vortex equation
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2019
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José A. Carrillo
David Gómez‐Castro
Juan Luís Vázquez
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+
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The one-phase fractional Stefan problem
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2019
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Félix del Teso
Jørgen Endal
Juan Luís Vázquez
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+
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Singular boundary behaviour and large solutions for fractional elliptic equations
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2019
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Nicola Abatangelo
David Gómez‐Castro
Juan Luís Vázquez
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+
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On a fractional thin film equation
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2019
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Antonio Segatti
Juan Luís Vázquez
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+
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Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular domains
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2019
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Alessandro Audrito
Juan Luís Vázquez
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+
PDF
Chat
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Porous medium equation with nonlocal pressure in a bounded domain
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2018
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Quoc‐Hung Nguyen
Juan Luís Vázquez
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PDF
Chat
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The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach
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2018
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Jesús Ildefonso Díaz Díaz
David Gómez‐Castro
Juan Luís Vázquez
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PDF
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The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case
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2018
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Gabriele Grillo
Matteo Muratori
Juan Luís Vázquez
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The fractional Schr\"odinger equation with general nonnegative potentials. The weighted space approach
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2018
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Jesús Ildefonso Díaz Díaz
David Gómez‐Castro
Juan Luís Vázquez
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Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations
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2018
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Matteo Bonforte
Alessio Figalli
Juan Luís Vázquez
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PDF
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Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains
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2018
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Matteo Bonforte
Alessio Figalli
Juan Luís Vázquez
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Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications
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2018
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Mikko Parviainen
Juan Luís Vázquez
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+
PDF
Chat
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Porous Medium Equation with Nonlocal Pressure
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2018
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Diana Stan
Félix del Teso
Juan Luís Vázquez
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+
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Asymptotic behaviour for the Heat Equation in Hyperbolic Space
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2018
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Juan Luís Vázquez
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Porous medium equation with nonlocal pressure
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2018
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Diana Stan
Félix del Teso
Juan Luís Vázquez
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+
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Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications
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2018
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Mikko Parviainen
Juan Luís Vázquez
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+
PDF
Chat
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Flatness implies smoothness for solutions of the porous medium equation
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2017
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Clemens Kienzler
Herbert Koch
Juan Luís Vázquez
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PDF
Chat
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Asymptotic behaviour for the fractional heat equation in the Euclidean space
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2017
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Juan Luís Vázquez
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The porous medium equation on Riemannian manifolds with very negative curvature
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2017
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Gabriele Grillo
Matteo Muratori
Juan Luís Vázquez
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The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case
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2017
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Gabriele Grillo
Matteo Muratori
Juan Luís Vázquez
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+
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Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations.
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2017
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Matteo Bonforte
Alessio Figalli
Juan Luís Vázquez
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+
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The Fisher-KPP problem with doubly nonlinear diffusion
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2017
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Alessandro Audrito
Juan Luís Vázquez
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+
PDF
Chat
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Weak and smooth solutions for a fractional Yamabe flow: The case of general compact and locally conformally flat manifolds
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2017
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Panagiota Daskalopoulos
Yannick Sire
Juan Luís Vázquez
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Porous medium equation with nonlocal pressure in a bounded domain
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2017
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Quoc‐Hung Nguyen
Juan Luís Vázquez
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+
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Asymptotic behaviour for the Fractional Heat Equation in the Euclidean space
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2017
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Juan Luís Vázquez
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Asymptotic behaviour methods for the Heat Equation. Convergence to the Gaussian
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2017
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Juan Luís Vázquez
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The porous medium equation on Riemannian manifolds with negative curvature. The large-time behaviour
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2017
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Gabriele Grillo
Matteo Muratori
Juan Luís Vázquez
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PDF
Chat
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Classical solutions and higher regularity for nonlinear fractional diffusion equations
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2017
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Juan Luís Vázquez
Arturo de Pablo
Fernando Quirós
Ana Alonso Rodríguez
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PDF
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The Fisher–KPP problem with doubly nonlinear “fast” diffusion
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2017
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Alessandro Audrito
Juan Luís Vázquez
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PDF
Chat
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Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application
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2017
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Yannick Sire
Juan Luís Vázquez
Bruno Volzone
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Weak and smooth solutions for a fractional Yamabe flow: the case of general compact and locally conformally flat manifolds
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2017
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Panagiota Daskalopoulos
Yannick Sire
Juan Luís Vázquez
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PDF
Chat
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The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion
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2017
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Juan Luís Vázquez
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Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions
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2017
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José A. Carrillo
Manuel del Pino
Alessio Figalli
Giuseppe Mingione
Juan Luís Vázquez
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Porous medium equation with nonlocal pressure in a bounded domain
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2017
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Quoc‐Hung Nguyen
Juan Luís Vázquez
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+
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Asymptotic behaviour methods for the Heat Equation. Convergence to the Gaussian
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2017
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Juan Luís Vázquez
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+
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Asymptotic behaviour for the Fractional Heat Equation in the Euclidean space
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2017
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Juan Luís Vázquez
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+
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Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations
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2017
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Matteo Bonforte
Alessio Figalli
Juan Luís Vázquez
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+
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The mathematical theories of diffusion. Nonlinear and fractional diffusion
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2017
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Juan Luís Vázquez
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+
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The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case
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2017
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Gabriele Grillo
Matteo Muratori
Juan Luís Vázquez
|
|
+
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Weak and smooth solutions for a fractional Yamabe flow: the case of general compact and locally conformally flat manifolds
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2017
|
Panagiota Daskalopoulos
Yannick Sire
Juan Luís Vázquez
|
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+
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Flatness implies smoothness for solutions of the porous medium equation
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2016
|
Clemens Kienzler
Herbert Koch
Juan Luís Vázquez
|
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+
PDF
Chat
|
Optimal existence and uniqueness theory for the fractional heat equation
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2016
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Matteo Bonforte
Yannick Sire
Juan Luís Vázquez
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+
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Existence of weak solutions for a general porous medium equation with nonlocal pressure.
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2016
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Diana Stan
Félix del Teso
Juan Luís Vázquez
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+
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Optimal Existence and Uniqueness Theory for the Fractional Heat Equation
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2016
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Matteo Bonforte
Yannick Sire
Juan Luís Vázquez
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+
PDF
Chat
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Existence of maximal solutions for some very singular nonlinear fractional diffusion equations in 1D
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2016
|
Juan Luís Vázquez
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+
PDF
Chat
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Non-existence and instantaneous extinction of solutions for singular nonlinear fractional diffusion equations
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2016
|
Matteo Bonforte
Antonio Segatti
Juan Luís Vázquez
|
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+
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The porous medium equation on Riemannian manifolds with negative curvature. The large-time behaviour
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2016
|
Gabriele Grillo
Matteo Muratori
Juan Luís Vázquez
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+
PDF
Chat
|
Regularity of solutions of the fractional porous medium flow with exponent $1/2$
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2016
|
Luis Caffarelli
Juan Luís Vázquez
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+
PDF
Chat
|
The Dirichlet problem for the fractional p-Laplacian evolution equation
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2016
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Juan Luís Vázquez
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+
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The porous medium equation on Riemannian manifolds with negative curvature. The large-time behaviour
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2016
|
Gabriele Grillo
Matteo Muratori
Juan Luís Vázquez
|
|
+
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Existence of weak solutions for a general porous medium equation with nonlocal pressure
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2016
|
Diana Stan
Félix del Teso
Juan Luís Vázquez
|
|
+
|
Flatness implies smoothness for solutions of the porous medium equation
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2016
|
Clemens Kienzler
Herbert Koch
Juan Luís Vázquez
|
|
+
|
The Fisher-KPP problem with doubly nonlinear "fast" diffusion
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2016
|
Alessandro Audrito
Juan Luís Vázquez
|
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+
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Optimal Existence and Uniqueness Theory for the Fractional Heat Equation
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2016
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Matteo Bonforte
Yannick Sire
Juan Luís Vázquez
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+
PDF
Chat
|
Fractional nonlinear degenerate diffusion equations on bounded domains part I. Existence, uniqueness and upper bounds
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2015
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Matteo Bonforte
Juan Luís Vázquez
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Finite and infinite speed of propagation for porous medium equations with nonlocal pressure
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2015
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Diana Stan
Félix del Teso
Juan Luís Vázquez
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Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains Part I. Existence, Uniqueness and Upper Bounds
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2015
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Matteo Bonforte
Juan Luís Vázquez
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PDF
Chat
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The mesa problem for the fractional porous medium equation
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2015
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Juan Luís Vázquez
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PDF
Chat
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Some free boundary problems involving non-local diffusion and aggregation
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2015
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José A. Carrillo
Juan Luís Vázquez
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+
PDF
Chat
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Free boundary problems: the forefront of current and future developments
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2015
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Gui‐Qiang Chen
Henrik Shahgholian
Juan Luís Vázquez
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+
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Finite and infinite speed of propagation for porous medium equations with fractional pressure
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2015
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Diana Stan
Félix del Teso
Juan Luís Vázquez
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+
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The Dirichlet Problem for the fractional p-Laplacian evolution equation
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2015
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Juan Luís Vázquez
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+
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Existence of maximal solutions for some very singular nonlinear fractional diffusion equations in 1D
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2015
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Juan Luís Vázquez
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+
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Non-existence and instantaneous extinction of solutions for singular nonlinear fractional diffusion equations
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2015
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Matteo Bonforte
Antonio Segatti
Juan Luís Vázquez
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+
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Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
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2015
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Matteo Bonforte
Yannick Sire
Juan Luís Vázquez
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+
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Fundamental solution and long time behavior of the Porous Medium Equation in hyperbolic space
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2015
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Juan Luís Vázquez
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+
PDF
Chat
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A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains
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2015
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Matteo Bonforte
Juan Luís Vázquez
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Existence of maximal solutions for some very singular nonlinear fractional diffusion equations in 1D
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2015
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Juan Luís Vázquez
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+
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Non-existence and instantaneous extinction of solutions for singular nonlinear fractional diffusion equations
|
2015
|
Matteo Bonforte
Antonio Segatti
Juan Luís Vázquez
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+
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Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application
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2015
|
Yannick Sire
Juan Luís Vázquez
Bruno Volzone
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+
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Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains Part I. Existence, Uniqueness and Upper Bounds
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2015
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Matteo Bonforte
Juan Luís Vázquez
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+
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Finite and infinite speed of propagation for porous medium equations with nonlocal pressure
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2015
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Diana Stan
Félix del Teso
Juan Luís Vázquez
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+
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The Dirichlet Problem for the fractional p-Laplacian evolution equation
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2015
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Juan Luís Vázquez
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PDF
Chat
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Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure
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2014
|
José A. Carrillo
Yanghong Huang
Matheus C. Santos
Juan Luís Vázquez
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Regularity of solutions of the fractional porous medium flow with exponent 1/2
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2014
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Luis Caffarelli
Juan Luís Vázquez
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+
PDF
Chat
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Transformations of self-similar solutions for porous medium equations of fractional type
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2014
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Diana Stan
Félix del Teso
Juan Luís Vázquez
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+
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Fundamental solution and long time behaviour of the Porous Medium Equation in Hyperbolic Space
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2014
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Juan Luís Vázquez
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+
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Optimal estimates for fractional fast diffusion equations
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2014
|
Juan Luís Vázquez
Bruno Volzone
|
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+
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Existence, Uniqueness and Asymptotic behaviour for fractional porous medium equations on bounded domains
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2014
|
Matteo Bonforte
Yannick Sire
Juan Luís Vázquez
|
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+
PDF
Chat
|
Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type
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2014
|
Juan Luís Vázquez
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+
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The Mesa Problem for the Fractional Porous Medium Equation
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2014
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Juan Luís Vázquez
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Transformations of Self-Similar Solutions for porous medium equations of fractional type
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2014
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Diana Stan
Félix del Teso
Juan Luís Vázquez
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+
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Classical solutions for a logarithmic fractional diffusion equation
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2014
|
Arturo de Pablo
Fernando Quirós
Ana Alonso Rodríguez
Juan Luís Vázquez
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+
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Recent progress in the theory of Nonlinear Diffusion with Fractional Laplacian Operators
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2014
|
Juan Luís Vázquez
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+
PDF
Chat
|
The Hele–Shaw Asymptotics for Mechanical Models of Tumor Growth
|
2014
|
Benoı̂t Perthame
Fernando Quirós
Juan Luís Vázquez
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PDF
Chat
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Finite and infinite speed of propagation for porous medium equations with fractional pressure
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2014
|
Diana Stan
Félix del Teso
Juan Luís Vázquez
|
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PDF
Chat
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The Fisher-KPP Equation with Nonlinear Fractional Diffusion
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2014
|
Diana Stan
Juan Luís Vázquez
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+
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I.12. The Maximum Principle
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2014
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Juan Luís Vázquez
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+
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Progress in the Theory of Nonlinear Diffusion: Asymptotics via Entropy Methods
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2014
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Juan Luís Vázquez
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+
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Exponential Convergence Towards Stationary States for the 1D Porous Medium Equation with Fractional Pressure
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2014
|
José A. Carrillo
Yanghong Huang
Matheus C. Santos
Juan Luís Vázquez
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+
PDF
Chat
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Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
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2014
|
Juan Luís Vázquez
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+
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Fundamental solution and long time behaviour of the Porous Medium Equation in Hyperbolic Space
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2014
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Juan Luís Vázquez
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+
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Recent progress in the theory of Nonlinear Diffusion with Fractional Laplacian Operators
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2014
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Juan Luís Vázquez
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+
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The Mesa Problem for the Fractional Porous Medium Equation
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2014
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Juan Luís Vázquez
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+
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Regularity of solutions of the fractional porous medium flow with exponent 1/2
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2014
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Luis Caffarelli
Juan Luís Vázquez
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+
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Transformations of Self-Similar Solutions for porous medium equations of fractional type
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2014
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Diana Stan
Félix del Teso
Juan Luís Vázquez
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+
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Existence, Uniqueness and Asymptotic behaviour for fractional porous medium equations on bounded domains
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2014
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Matteo Bonforte
Yannick Sire
Juan Luís Vázquez
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+
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Classical solutions and higher regularity for nonlinear fractional diffusion equations
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2013
|
Juan Luís Vázquez
Arturo de Pablo
Fernando Quirós
Ana Alonso Rodríguez
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+
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A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on bounded domains
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2013
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Matteo Bonforte
Juan Luís Vázquez
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+
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Quantitative local and global a priori estimates for fractional nonlinear diffusion equations
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2013
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Matteo Bonforte
Juan Luís Vázquez
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+
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Optimal estimates for Fractional Fast diffusion equations
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2013
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Juan Luís Vázquez
Bruno Volzone
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+
PDF
Chat
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Regularity of solutions of the fractional porous medium flow
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2013
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Luis Caffarelli
Fernando Soria
Juan Luís Vázquez
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+
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Symmetrization for linear and nonlinear fractional parabolic equations of porous medium type
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2013
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Juan Luís Vázquez
Bruno Volzone
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+
PDF
Chat
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Hardy type inequalities and hidden energies
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2013
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Juan Luís Vázquez
Nikolaos B. Zographopoulos
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+
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The Fisher-KPP equation with nonlinear fractional diffusion
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2013
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Diana Stan
Juan Luís Vázquez
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+
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A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators
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2013
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Sylvia Serfaty
Juan Luís Vázquez
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+
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Symmetrization for Linear and Nonlinear Fractional Parabolic Equations of Porous Medium Type
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2013
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Juan Luís Vázquez
Bruno Volzone
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+
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Finite difference method for a general fractional porous medium equation
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2013
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Félix del Teso
Juan Luís Vázquez
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PDF
Chat
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Functional Aspects of the Hardy Inequality: Appearance of a Hidden Energy
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2013
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Juan Luís Vázquez
Nikolaos B. Zographopoulos
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The Fisher-KPP equation with nonlinear fractional diffusion
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2013
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Diana Stan
Juan Luís Vázquez
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+
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Optimal estimates for Fractional Fast diffusion equations
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2013
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Juan Luís Vázquez
Bruno Volzone
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+
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Finite and infinite speed of propagation for porous medium equations with fractional pressure
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2013
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Diana Stan
Félix del Teso
Juan Luís Vázquez
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+
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A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on bounded domains
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2013
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Matteo Bonforte
Juan Luís Vázquez
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+
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Classical solutions and higher regularity for nonlinear fractional diffusion equations
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2013
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Juan Luís Vázquez
Arturo de Pablo
Fernando Quirós
Ana Rodríguez
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+
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Symmetrization for Linear and Nonlinear Fractional Parabolic Equations of Porous Medium Type
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2013
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Juan Luís Vázquez
Bruno Volzone
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+
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Quantitative Local and Global A Priori Estimates for Fractional Nonlinear Diffusion Equations
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2012
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Matteo Bonforte
Juan Luís Vázquez
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+
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Asymptotic behaviour of the doubly nonlinear diffusion equation on bounded domains
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2012
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Diana Stan
Juan Luís Vázquez
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+
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Asymptotic behaviour of the doubly nonlinear equation $u_t=\Delta_p u^m$ on bounded domains
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2012
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Diana Stan
Juan Luís Vázquez
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+
PDF
Chat
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A General Fractional Porous Medium Equation
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2012
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Arturo de Pablo
Fernando Quirós
Ana Alonso Rodríguez
Juan Luís Vázquez
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PDF
Chat
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Quantitative Local Bounds for Subcritical Semilinear Elliptic Equations
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2012
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Matteo Bonforte
Gabriele Grillo
Juan Luís Vázquez
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Hydrodynamic Limit of Nonlinear Diffusions with Fractional Laplacian Operators
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2012
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Sylvia Serfaty
Juan Luís Vázquez
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+
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Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type
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2012
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Juan Luís Vázquez
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+
PDF
Chat
|
Barenblatt solutions and asymptotic behaviour for a nonlinear fractional
heat equation of porous medium type
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2012
|
Juan Luís Vázquez
|
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+
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Classical solutions for a logarithmic fractional diffusion equation
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2012
|
Arturo de Pablo
Fernando Quirós
Ana Alonso Rodríguez
Juan Luís Vázquez
|
|
+
PDF
Chat
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Functional aspects of the Hardy inequality: appearance of a hidden energy
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2012
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Juan Luís Vázquez
Nikolaos B. Zographopoulos
|
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+
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A Porous Medium Equation Involving the Infinity-Laplacian. Viscosity Solutions and Asymptotic Behavior
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2012
|
Manuel Portilheiro
Juan Luís Vázquez
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PDF
Chat
|
Degenerate homogeneous parabolic equations associated with the infinity-Laplacian
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2012
|
Manuel Portilheiro
Juan Luís Vázquez
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+
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Regularity of solutions of the fractional porous medium flow
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2012
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Luis Caffarelli
Fernando Soria
Juan Luís Vázquez
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+
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Quantitative Local Bounds for Subcritical Semilinear Elliptic Equations
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2012
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Matteo Bonforte
Gabriele Grillo
Juan Luís Vázquez
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+
PDF
Chat
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Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation
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2012
|
Марек Фила
Juan Luís Vázquez
Michael Winkler
Eiji Yanagida
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+
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Large-time geometrical properties of solutions of the Barenblatt equation of elasto-plastic filtration
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2012
|
Yong Huang
Juan Luís Vázquez
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PDF
Chat
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Classification of radial solutions to the Emden–Fowler equation on the hyperbolic space
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2012
|
Matteo Bonforte
Filippo Gazzola
Gabriele Grillo
Juan Luís Vázquez
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Nonlinear Diffusion with Fractional Laplacian Operators
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2012
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Juan Luís Vázquez
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+
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"Nonlinear diffusion equations, Diffusion with nonlocal operators"
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2012
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Juan Luís Vázquez
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+
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Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type
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2012
|
Juan Luís Vázquez
|
|
+
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Classical solutions for a logarithmic fractional diffusion equation
|
2012
|
Arturo de Pablo
Fernando Quirós
Ana Rodríguez
Juan Luís Vázquez
|
|
+
|
Quantitative Local and Global A Priori Estimates for Fractional Nonlinear Diffusion Equations
|
2012
|
Matteo Bonforte
Juan Luís Vázquez
|
|
+
|
Hydrodynamic Limit of Nonlinear Diffusions with Fractional Laplacian Operators
|
2012
|
Sylvia Serfaty
Juan Luís Vázquez
|
|
+
|
Regularity of solutions of the fractional porous medium flow
|
2012
|
Luis Caffarelli
Fernando Soria
Juan Luís Vázquez
|
|
+
|
Quantitative Local Bounds for Subcritical Semilinear Elliptic Equations
|
2012
|
Matteo Bonforte
Gabriele Grillo
Juan Luís Vázquez
|
|
+
|
Asymptotic behaviour of the doubly nonlinear equation $u_t=Δ_p u^m$ on bounded domains
|
2012
|
Diana Stan
Juan Luís Vázquez
|
|
+
PDF
Chat
|
Asymptotic behaviour of a nonlinear parabolic equation with gradient absorption and critical exponent
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2011
|
Razvan Gabriel Iagar
Philippe Laurençot
Juan Luís Vázquez
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+
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Behaviour near extinction for the Fast Diffusion Equation on bounded domains
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2011
|
Matteo Bonforte
Gabriele Grillo
Juan Luís Vázquez
|
|
+
PDF
Chat
|
Nonlinear Porous Medium Flow with Fractional Potential Pressure
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2011
|
Luis Caffarelli
Juan Luís Vázquez
|
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+
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Behavior of radial solutions to the Emden-Fowler equation on the hyperbolic space
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2011
|
Matteo Bonforte
Filippo Gazzola
Gabriele Grillo
Juan Luís Vázquez
|
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+
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Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space
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2011
|
Matteo Bonforte
Filippo Gazzola
Gabriele Grillo
Juan Luís Vázquez
|
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+
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A general fractional porous medium equation
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2011
|
Arturo de Pablo
Fernando Quirós
Ana Alonso Rodríguez
Juan Luís Vázquez
|
|
+
PDF
Chat
|
A continuum of extinction rates for the fast diffusion equation
|
2011
|
Michael Winkler
Juan Luís Vázquez
Марек Фила
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+
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Highly time-oscillating solutions for very fast diffusion equations
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2011
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Juan Luís Vázquez
Michael Winkler
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+
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The Evolution of Singularities in Fast Diffusion Equations: Infinite-Time Blow-Down
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2011
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Juan Luís Vázquez
Michael Winkler
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+
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Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space
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2011
|
Matteo Bonforte
Filippo Gazzola
Gabriele Grillo
Juan Luís Vázquez
|
|
+
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A general fractional porous medium equation
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2011
|
Arturo de Pablo
Fernando Quirós
Ana Rodríguez
Juan Luís Vázquez
|
|
+
PDF
Chat
|
Heat equation with dynamical boundary conditions of reactive–diffusive type
|
2010
|
Juan Luís Vázquez
Enzo Vitillaro
|
|
+
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Asymptotic behaviour of a porous medium equation with fractional diffusion
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2010
|
Luis Caffarelli
Juan Luís Vázquez
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+
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Behaviour near extinction for the Fast Diffusion Equation on bounded domains
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2010
|
Matteo Bonforte
Gabriele Grillo
Juan Luís Vázquez
|
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+
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Multiple blow-up for a porous medium equation with reaction
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2010
|
Noriko Mizoguchi
Fernando Quirós
Juan Luís Vázquez
|
|
+
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Degenerate homogeneous parabolic equations associated with the infinity-Laplacian
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2010
|
Manuel Portilheiro
Juan Luís Vázquez
|
|
+
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A fractional porous medium equation
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2010
|
Arturo de Pablo
Fernando Quirós
Ana Alonso Rodríguez
Juan Luís Vázquez
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+
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Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
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2010
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Matteo Bonforte
Jean Dolbeault
Gabriele Grillo
Juan Luís Vázquez
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Asymptotic behaviour of a porous medium equation with fractional diffusion
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2010
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Luis Caffarelli
Juan Luís Vázquez
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+
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A Continuum of Extinction Rates for the Fast Diffusion Equation
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2010
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Марек Фила
Juan Luís Vázquez
Michael Winkler
|
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+
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Local smoothing effects, positivity, and Harnack inequalities for the fast p-Laplacian equation
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2010
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Matteo Bonforte
Razvan Gabriel Iagar
Juan Luís Vázquez
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+
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Asymptotic Behaviour of a Nonlinear Parabolic Equation with Gradient Absorption and Critical Exponent
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2010
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Razvan Gabriel Iagar
Philippe Laurençot
Juan Luís Vázquez
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A fractional porous medium equation
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2010
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Arturo de Pablo
Fernando Quirós
Ana Alonso Rodríguez
Juan Luís Vázquez
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+
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A porous medium equation involving the infinity-Laplacian. Viscosity solutions and asymptotic behaviour
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2010
|
Manuel Portilheiro
Juan Luís Vázquez
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|
+
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Behaviour near extinction for the Fast Diffusion Equation on bounded domains
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2010
|
Matteo Bonforte
Gabriele Grillo
Juan Luís Vázquez
|
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+
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Asymptotic Behaviour of a Nonlinear Parabolic Equation with Gradient Absorption and Critical Exponent
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2010
|
Razvan Gabriel Iagar
Philippe Laurençot
Juan Luís Vázquez
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+
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Asymptotic behaviour of a porous medium equation with fractional diffusion
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2010
|
Luis Caffarelli
Juan Luís Vázquez
|
|
+
|
Degenerate homogeneous parabolic equations associated with the infinity-Laplacian
|
2010
|
Manuel Portilheiro
Juan Luís Vázquez
|
|
+
|
A fractional porous medium equation
|
2010
|
Arturo de Pablo
Fernando Quirós
Ana Rodríguez
Juan Luís Vázquez
|
|
+
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A Continuum of Extinction Rates for the Fast Diffusion Equation
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2010
|
Марек Фила
Juan Luís Vázquez
Michael Winkler
|
|
+
PDF
Chat
|
Anomalous large-time behaviour of the $p$-Laplacian flow in an exterior domain in low dimension
|
2009
|
Razvan Gabriel Iagar
Juan Luís Vázquez
|
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+
PDF
Chat
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Long time behavior for the inhomogeneous PME in a medium with rapidly decaying density
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2009
|
S. Kamin
Guillermo Reyes
Juan Luís Vázquez
|
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+
PDF
Chat
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Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations
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2009
|
Matteo Bonforte
Juan Luís Vázquez
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|
+
PDF
Chat
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Special Fast Diffusion with Slow Asymptotics: Entropy Method and Flow on a Riemannian Manifold
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2009
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Matteo Bonforte
Gabriele Grillo
Juan Luís Vázquez
|
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+
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On the Laplace equation with dynamical boundary conditions of reactive–diffusive type
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2009
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Juan Luís Vázquez
Enzo Vitillaro
|
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+
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Local smoothing effects, positivity, and Harnack inequalities for the fast p-Laplacian equation
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2009
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Matteo Bonforte
Razvan Gabriel Iagar
Juan Luís Vázquez
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+
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Long time behavior for the inhomogeneous PME in a medium with slowly decaying density
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2008
|
Guillermo Reyes
Juan Luís Vázquez
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+
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WAVE EQUATION WITH SECOND-ORDER NON-STANDARD DYNAMICAL BOUNDARY CONDITIONS
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2008
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Juan Luís Vázquez
Enzo Vitillaro
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+
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Local Aronson–Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds
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2008
|
Peng Lü
Lei Ni
Juan Luís Vázquez
Cédric Villani
|
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+
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Parabolic approach to nonlinear elliptic eigenvalue problems
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2008
|
Ki-Ahm Lee
Juan Luís Vázquez
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+
PDF
Chat
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Asymptotics of the Fast Diffusion Equation via Entropy Estimates
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2008
|
Adrien Blanchet
Matteo Bonforte
Jean Dolbeault
Gabriele Grillo
Juan Luís Vázquez
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+
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Measure-valued solutions and the phenomenon of blow-down in logarithmic diffusion
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2008
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Juan Luís Vázquez
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+
PDF
Chat
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Noncoercive convection–diffusion elliptic problems with Neumann boundary conditions
|
2008
|
Jérôme Droniou
Juan Luís Vázquez
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+
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Two nonlinear diffusion equations with finite speed of propagation
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2008
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Juan Luís Vázquez
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+
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Heat Equation with Dynamical Boundary Conditions of Reactive Type
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2008
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Juan Luís Vázquez
Enzo Vitillaro
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+
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Las ecuaciones en derivadas parciales de Riemann: un camino a la geometría y a la física.
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2008
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Juan Luís Vázquez
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+
PDF
Chat
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Asymptotic analysis of the p-Laplacian flow in an exterior domain
|
2008
|
Razvan Gabriel Iagar
Juan Luís Vázquez
|
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+
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The inhomogeneous PME in several space dimensions. Existence and uniqueness of finite energy solutions
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2008
|
Guillermo Reyes
Juan Luís Vázquez
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+
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Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations
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2008
|
Matteo Bonforte
Juan Luís Vázquez
|
|
+
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Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds
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2008
|
Peng Lü
Lei Ni
Juan Luís Vázquez
Cédric Villani
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+
PDF
Chat
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Fast diffusion flow on manifolds of nonpositive curvature
|
2007
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Matteo Bonforte
Gabriele Grillo
Juan Luís Vázquez
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+
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Radial equivalence for the two basic nonlinear degenerate diffusion equations
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2007
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Razvan Gabriel Iagar
Ariel Sánchez
Juan Luís Vázquez
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+
PDF
Chat
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Localized Non-diffusive Asymptotic Patterns for Nonlinear Parabolic Equations with Gradient Absorption
|
2007
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Philippe Laurençot
Juan Luís Vázquez
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POROUS MEDIUM FLOW IN A TUBE: TRAVELING WAVES AND KPP BEHAVIOR
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2007
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Juan Luís Vázquez
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+
PDF
Chat
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Viscosity solutions for elliptic-parabolic problems
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2007
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Paola Mannucci
Juan Luís Vázquez
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+
PDF
Chat
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Asymptotic behaviour of the porous media equation in domains with holes
|
2007
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Cristina Brändle
Fernando Quirós
Juan Luís Vázquez
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+
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Perspectives in nonlinear diffusion: between analysis, physics and geometry
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2007
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Juan Luís Vázquez
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+
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Selfsimilar Equivalence of Porous Medium and p-Laplacian Flows
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2007
|
Ariel Sánchez
Juan Luís Vázquez
|
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+
PDF
Chat
|
Hardy–Poincaré inequalities and applications to nonlinear diffusions
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2007
|
Adrien Blanchet
Matteo Bonforte
Jean Dolbeault
Gabriele Grillo
Juan Luís Vázquez
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+
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Asymptotic Complexity in Filtration Equations
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2007
|
José A. Carrillo
Juan Luís Vázquez
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+
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Heat Equation with Dynamical Boundary Conditions of Locally Reactive Type
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2007
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Juan Luís Vázquez
Enzo Vitillaro
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+
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Finite-time blow-down in the evolution of point masses by planar logarithmic diffusion
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2007
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Juan Luís Vázquez
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+
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Multiple blowup for nonlinear heat equations at different places and different times
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2007
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Noriko Mizoguchi
Juan Luís Vázquez
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+
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Distance-Based Kernels for Real-Valued Data.
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2007
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Lluís Belanche
Juan Luís Vázquez
Miguél Vázquez
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+
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Selfsimilar Equivalence of Porous Medium and p-Laplacian Flows
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2007
|
Ariel Sánchez
Juan Luís Vázquez
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+
PDF
Chat
|
Hardy-Poincaré inequalities and applications to nonlinear diffusions
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2007
|
Adrien Blanchet
Matteo Bonforte
Jean Dolbeault
Gabriele Grillo
Juan Luís Vázquez
|
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+
PDF
Chat
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Reverse Smoothing Effects, Fine Asymptotics, and Harnack Inequalities for Fast Diffusion Equations
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2006
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Matteo Bonforte
Juan Luís Vázquez
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PRELIMINARIES AND BASIC ESTIMATES
|
2006
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Juan Luís Vázquez
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+
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THE PME AS AN ABSTRACT EVOLUTION EQUATION. SEMIGROUP APPROACH
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2006
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Juan Luís Vázquez
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CONTINUITY OF LOCAL SOLUTIONS
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2006
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Juan Luís Vázquez
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OPTIMAL EXISTENCE THEORY FOR NON-NEGATIVE SOLUTIONS
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2006
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Juan Luís Vázquez
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ASYMPTOTIC BEHAVIOUR II. DIRICHLET AND NEUMANN PROBLEMS
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2006
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Juan Luís Vázquez
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ASYMPTOTIC BEHAVIOUR I. THE CAUCHY PROBLEM
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2006
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Juan Luís Vázquez
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The Porous Medium Equation
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2006
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Juan Luís Vázquez
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THE DIRICHLET PROBLEM II. LIMIT SOLUTIONS, VERY WEAK SOLUTIONS AND SOME OTHER VARIANTS
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2006
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Juan Luís Vázquez
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FULL ANALYSIS OF SELF-SIMILARITY
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2006
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Juan Luís Vázquez
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TECHNIQUES OF SYMMETRIZATION AND CONCENTRATION
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2006
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Juan Luís Vázquez
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THE DIRICHLET PROBLEM I. WEAK SOLUTIONS
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2006
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Juan Luís Vázquez
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THE CAUCHY PROBLEM. <i>L</i>1-THEORY
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2006
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Juan Luís Vázquez
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THE DIRICHLET PROBLEM III. STRONG SOLUTIONS
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2006
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Juan Luís Vázquez
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THE CAUCHY PROBLEM WITH GROWING INITIAL DATA
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2006
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Juan Luís Vázquez
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THE NEUMANN PROBLEM AND PROBLEMS ON MANIFOLDS
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2006
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Juan Luís Vázquez
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REGULARITY AND FINER ASYMPTOTICS IN SEVERAL DIMENSIONS
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2006
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Juan Luís Vázquez
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MAIN APPLICATIONS
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2006
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Juan Luís Vázquez
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BASIC EXAMPLES
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2006
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Juan Luís Vázquez
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INTRODUCTION
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2006
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Juan Luís Vázquez
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PROPAGATION PROPERTIES
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2006
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Juan Luís Vázquez
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PDF
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A weighted symmetrization for nonlinear elliptic and parabolic equations in inhomogeneous media
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2006
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Guillermo Reyes
Juan Luís Vázquez
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Global positivity estimates and Harnack inequalities for the fast diffusion equation
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2006
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Matteo Bonforte
Juan Luís Vázquez
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Large-time geometric properties of solutions of the evolution p-Laplacian equation
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2006
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Ki-Ahm Lee
Arshak Petrosyan
Juan Luís Vázquez
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Summary of main results for the PME/FDE
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2006
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Juan Luís Vázquez
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Smoothing and Decay Estimates for Nonlinear Diffusion Equations
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2006
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Juan Luís Vázquez
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Extinction rates and asymptotics for 0 &lt;<i>m</i>&lt;<i>m</i><i>c</i>
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2006
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Juan Luís Vázquez
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Improved analysis of the critical line. Delayed regularity
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2006
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Juan Luís Vázquez
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Smoothing effect and time decay from<i>L</i><i>p</i>or<i>M</i><i>p</i>
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2006
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Juan Luís Vázquez
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Evolution equations of the<i>p</i>-Laplacian type
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2006
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Juan Luís Vázquez
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Logarithmic diffusion in 2D and intermediate 1D range
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2006
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Juan Luís Vázquez
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Subcritical range of the FDE. Critical line. Extinction. Backward effect
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2006
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Juan Luís Vázquez
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Smoothing effect and time decay. Data in<i>L</i>1 (R<i>n</i>) or<i>M</i>(R<i>n</i>)
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2006
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Juan Luís Vázquez
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Lower bounds, contractivity, error estimates, and continuity
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2006
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Juan Luís Vázquez
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Preliminaries
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2006
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Juan Luís Vázquez
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Introduction
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2006
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Juan Luís Vázquez
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Superfast FDE
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2006
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Juan Luís Vázquez
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Classification of blow-up with nonlinear diffusion and localized reaction
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2006
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Raúl Ferreira
Arturo de Pablo
Juan Luís Vázquez
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LACK OF COLLISION IN A SIMPLIFIED 1D MODEL FOR FLUID–SOLID INTERACTION
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2006
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Juan Luís Vázquez
Enrique Zuazua
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PDF
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Extended solutions for general fast diffusion equations with optimal measure data
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2006
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Emmanuel Chasseigne
Juan Luís Vázquez
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Perspectives in nonlinear diffusion: between analysis, physics and geometry
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2006
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Juan Luís Vázquez
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Recent Trends in Partial Differential Equations
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2006
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Juan Luís Vázquez
Xavier Cabré
José A. Carrillo
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Smoothing and decay estimates for nonlinear diffusion equations : equations of porous medium type
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2006
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Juan Luís Vázquez
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Ecuaciones en derivadas parciales
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2006
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Juan Luís Vázquez
A. De Pablo
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PDF
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The Cauchy problem for the inhomogeneous porous medium equation
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2006
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Guillermo Reyes
Juan Luís Vázquez
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Recent trends in partial differential equations: UIMP-RSME Santaló summer school, recent trends in partial differential equations, Universidad Internacional Menéndez Pelayo, Santander, Spain
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2006
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Juan Luís Vázquez
Xavier Cabré
José A. Carrillo
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Recent trends in partial differential equations : UIMP-RSME Santaló summer school, July 12-16, 2004 Universidad Internacional Menéndez Pelayo, Santander, Spain
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2006
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Juan Luís Vázquez
Xavier Cabré
José A. Carrillo
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Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems
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2005
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Juan Luís Vázquez
Hirokazu Ninomiya
Марек Фила
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Failure of the Strong Maximum Principle in Nonlinear Diffusion. Existence of Needles
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2005
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Juan Luís Vázquez
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SINGULAR FREE BOUNDARY PROBLEM FROM IMAGE PROCESSING
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2005
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Anna Lisa Amadori
Juan Luís Vázquez
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The diffusive limit for Carleman-type kinetic models
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2005
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Francesco Salvarani
Juan Luís Vázquez
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Symmetrization and Mass Comparison for Degenerate Nonlinear Parabolic and Related Elliptic Equations
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2005
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Juan Luís Vázquez
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An illustrative experiment on electromagnetic oscillations
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2005
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Jaquelina E. Escalante
Juan Luís Vázquez
Diego García Montes
Lvette Lopez
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Blow-up. El problema matemático de explosión para ecuaciones y sistemas de reacción difusión
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2005
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A. de Pablo
Raphaël Ferreira
Fernando Quirós
Juan Luís Vázquez
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Viscosity solutions for quasilinear degenerate parabolic equations of porous medium type
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2005
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Juan Luís Vázquez
Cristina Brändle
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Symmetrization and Mass Comparison for Degenerate Nonlinear Parabolic
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2005
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Juan Luís Vázquez
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The Porous Medium Equation. New Contractivity Results
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2005
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Juan Luís Vázquez
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FROM KINETIC SYSTEMS TO DIFFUSION EQUATIONS
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2004
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Francesco Salvarani
Juan Luís Vázquez
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Nonlinear diffusion and image contour enhancement
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2004
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Г. И. Баренблатт
Juan Luís Vázquez
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The Dirichlet Problem for the Porous Medium Equation in Bounded Domains. Asymptotic Behavior
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2004
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Juan Luís Vázquez
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Intermediate Asymptotics for Inhomogeneous Nonlinear Heat Conduction
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2004
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Victor A. Galaktionov
S. Kamin
Róbert Kersner
Juan Luís Vázquez
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La ecuación de Navier-Stokes. Un reto físico-matemático para el siglo XXI
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2004
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Juan Luís Vázquez
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Equation ut = uxx + u ln2u: Regional Blow-up
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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Quasilinear Heat Equations with Absorption. The Critical Exponent
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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A Fully Nonlinear Equation from Detonation Theory
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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Blow-up in Quasilinear Heat Equations Described by Hamilton—Jacobi Equations
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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Stability Theorem: A Dynamical Systems Approach
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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Blow-up Free-Boundary Patterns for the Navier-Stokes Equations
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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Equation of Superslow Diffusion
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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The Fast Diffusion Equation with Critical Exponent
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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The problems of blow-up for nonlinear heat equations. Complete blow-up and avalanche formation
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2004
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Juan Luís Vázquez
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The Porous Medium Equation in an Exterior Domain
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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The Dirichlet Problem for the Porous Medium Equation in Bounded Domains. Asymptotic Behavior
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2004
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Juan Luís Vázquez
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Further Applications to Second- and Higher-Order Equations
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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Porous Medium Equation with Critical Strong Absorption
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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Nonlinear Heat Equations: Basic Models and Mathematical Techniques
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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A Stability Technique for Evolution Partial Differential Equations
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2004
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Victor A. Galaktionov
Juan Luís Vázquez
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The Pressure Equation in the Fast Diffusion Range
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2003
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Emmanuel Chasseigne
Juan Luís Vázquez
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PDF
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Thermal avalanche for blowup solutions of semilinear heat equations
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2003
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Fernando Quirós
Julio D. Rossi
Juan Luís Vázquez
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PDF
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The Nonlinearly Damped Oscillator
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2003
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Juan Luís Vázquez
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Large Time Behavior for a Simplified 1D Model of Fluid–Solid Interaction†
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2003
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Juan Luís Vázquez
Enrique Zuazua
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Fine Asymptotics for Fast Diffusion Equations
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2003
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José A. Carrillo
Juan Luís Vázquez
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Study of self-similarity for the fast-diffusion equation
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2003
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Raúl Ferreira
Juan Luís Vázquez
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Asymptotic behaviour for the porous medium equation posed in the whole space
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2003
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Juan Luís Vázquez
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Geometrical properties of solutions of the Porous Medium Equation for large times
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2003
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Ki-Ahm Lee
Juan Luís Vázquez
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Darcy's Law and the Theory of Shrinking Solutions of Fast Diffusion Equations
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2003
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Juan Luís Vázquez
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Nonlinear Diffusion and Image Contour Enhancement
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2003
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Г. И. Баренблатт
Juan Luís Vázquez
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COMPLETE BLOW-UP AND THERMAL AVALANCHE FOR HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS
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2002
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Fernando Quirós
Julio D. Rossi
Juan Luís Vázquez
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Sets of admissible initial data for porous-medium equations with absorption
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2002
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Emmanuel Chasseigne
Juan Luís Vázquez
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Theory of Extended Solutions¶for Fast-Diffusion Equations¶in Optimal Classes of Data.¶Radiation from Singularities
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2002
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Emmanuel Chasseigne
Juan Luís Vázquez
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Obstructions to Existence in Fast-Diffusion Equations
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2002
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Ana Alonso Rodríguez
Juan Luís Vázquez
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Uniqueness of asymptotic profiles for an extinction problem
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2002
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Raphaël Ferreira
В. А. Галактионов
Juan Luís Vázquez
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COMPLEXITY OF LARGE TIME BEHAVIOUR OF EVOLUTION EQUATIONS WITH BOUNDED DATA
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2002
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Juan Luís Vázquez
Enrique Zuazua
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The problem Of blow-up in nonlinear parabolic equations
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2002
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Victor A. Galaktionov
Juan Luís Vázquez
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Solutions of nonlinear parabolic equations without growth restrictions on the data
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2001
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Lucio Boccardo
Thierry Gallouët
Juan Luís Vázquez
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Extinction behaviour for fast diffusion equations with absorption
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2001
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Raúl Ferreira
Juan Luís Vázquez
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Uniqueness in a two-phase free-boundary problem
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2001
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Claudia Lederman
Juan Luís Vázquez
Noemí Wolanski
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Quenching for a One-Dimensional Fully Nonlinear Parabolic Equation in Detonation Theory
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2001
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Juan Luís Vázquez
Stéphane Gerbi
Victor A. Galaktionov
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A mixed semilinear parabolic problem from combustion theory
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2001
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Claudia Lederman
Juan Luís Vázquez
Noemí Wolanski
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A mixed semilinear parabolic problem in a noncylindrical space-time domain
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2001
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Claudia Lederman
Juan Luís Vázquez
Noemí Wolanski
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Geometrical properties of solutions of the Porous Medium Equation for large times
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2001
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Ki-Ahm Lee
Juan Luís Vázquez
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Behaviour of interfaces in a diffusion-absorption equation with critical exponents
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2000
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Victor A. Galaktionov
Sergey Shmarev
Juan Luís Vázquez
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Asymptotic convergence of the Stefan problem to Hele-Shaw
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2000
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Fernando Quirós
Juan Luís Vázquez
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Uniqueness of solution to a free boundary problem from combustion
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2000
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Claudia Lederman
Juan Luís Vázquez
Noemí Wolanski
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The Hardy Inequality and the Asymptotic Behaviour of the Heat Equation with an Inverse-Square Potential
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2000
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Juan Luís Vázquez
Enrique Zuazua
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Asymptotics of the Fast-Diffusion Equation with Critical Exponent
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2000
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Victor A. Galaktionov
L. A. Peletier
Juan Luís Vázquez
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Regularity of Interfaces in Diffusion Processes under the Influence of Strong Absorption
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1999
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Victor A. Galaktionov
Sergey Shmarev
Juan Luís Vázquez
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Asymptotic behaviour of a generalized Burgers' equation
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1999
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Guillermo Reyes
Juan Luís Vázquez
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SECOND-ORDER INTERFACE EQUATIONS FOR NONLINEAR DIFFUSION WITH VERY STRONG ABSORPTION
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1999
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Victor A. Galaktionov
Sergey Shmarev
Juan Luís Vázquez
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Free boundary layer formation in nonlinear heat propagation
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1999
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Manuela Yuste Chaves
Juan Luís Vázquez
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Domain of existence and blowup for the exponential reaction-diffusion equation
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1999
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Juan Luís Vázquez
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Blow-up of a class of solutions with free boundaries for the Navier-Stokes equations
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1999
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В. А. Галактионов
Juan Luís Vázquez
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Asymptotic behaviour of the porous media equation in an exterior domain
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1999
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Fernando Quirós
Juan Luís Vázquez
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A new free boundary problem for unsteady flows in porous media
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1998
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Г. И. Баренблатт
Juan Luís Vázquez
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A priori estimates, Lagrangian coordinates and the regularity of nonlinear diffusion equations
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1998
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Juan Luís Vázquez
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Rate of Approach to a Singular Steady State in Quasilinear Reaction-Diffusion Equations
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1998
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James W. Dold
Victor A. Galaktionov
Andrew Lacey
Juan Luís Vázquez
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Viscosity solutions for the porous medium equation
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1998
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Luis Caffarelli
Juan Luís Vázquez
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Extinction and focusing behaviour of spherical and annular flames described by a free boundary problem
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1997
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Victor A. Galaktionoy
Josephus Hulshof
Juan Luís Vázquez
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Focusing solutions for the $p$-Laplacian evolution equation
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1997
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Omar Gil
Juan Luís Vázquez
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The maximal solution of the logarithmic fast diffusion equation in two space dimensions
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1997
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Juan R. Esteban
Ana Alonso Rodríguez
Juan Luís Vázquez
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BIow-up solutions of some nonlinear elliptic problems
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1997
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Juan Luís Vázquez
Haı̈m Brezis
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Optimal existence and uniqueness in a nonlinear diffusion–absorption equation with critical exponents
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1997
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Manuela Yuste Chaves
Juan Luís Vázquez
Magdalena Walias
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Continuation of blowup solutions of nonlinear heat equations in several space dimensions
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1997
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Victor A. Galaktionov
Juan Luís Vázquez
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Continuation of blowup solutions of nonlinear heat equations in several space dimensions
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1997
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Victor A. Galaktionov
Juan Luís Vázquez
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The regularity of solutions of reaction-diffusion equations via Lagrangian coordinates
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1996
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Sergey Shmarev
Juan Luís Vázquez
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Asymptotic Behaviour and Self-Similarity for the Three Dimensional Vlasov–Poisson–Fokker–Planck System
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1996
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José A. Carrillo
Juan Soler
Juan Luís Vázquez
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Maximal viscosity solutions of the modified porous medium equation and their asymptotic behaviour
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1996
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Josephus Hulshof
Juan Luís Vázquez
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TheN-Laplacian Elliptic Equation: Variational versus Entropy Solutions
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1996
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Lucio Boccardo
Ireneo Peral
Juan Luís Vázquez
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Blow-Up for Quasilinear Heat Equations Described by Means of Nonlinear Hamilton–Jacobi Equations
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1996
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Victor A. Galaktionov
Juan Luís Vázquez
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The fast diffusion equation with logarithmic nonlinearity and the evolution of conformal metrics in the plane
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1996
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Juan R. Esteban
Ana Alonso Rodríguez
Juan Luís Vázquez
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Nonuniqueness in nonlinear heat propagation: a heat wave coming from infinity
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1996
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Manuela Yuste Chaves
Juan Luís Vázquez
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Persistence of corners in free boundaries in Hele-Shaw flow
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1995
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John R. King
Andrew Lacey
Juan Luís Vázquez
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Geometrical properties of the solutions of one-dimensional nonlinear parabolic equations
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1995
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Victor A. Galaktionov
Juan Luís Vázquez
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Non-uniqueness of solutions of nonlinear heat equations of fast diffusion type
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1995
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Ana Alonso Rodríguez
Juan Luís Vázquez
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PDF
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A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation
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1995
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Luis Caffarelli
Juan Luís Vázquez
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PDF
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A free-boundary problem for the heat equation arising in flame propagation
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1995
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Luis Caffarelli
Juan Luís Vázquez
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On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term
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1995
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Ireneo Peral
Juan Luís Vázquez
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Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations
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1995
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Victor A. Galaktionov
Juan Luís Vázquez
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Asymptotic convergence to dipole solutions in nonlinear parabolic equations
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1995
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Victor A. Galaktionov
Sergey A. Posashkov
Juan Luís Vázquez
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An $L^1$ -theory of existence and uniqueness of solutions of nonlinear elliptic equations
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1995
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Philippe Benilán
Lucio Boccardo
Thierry Gallouët
Ron Gariepy
Michel Pierre
Juan Luís Vázquez
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Self-similar solutions of the second kind for the modified porous medium equation
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1994
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Josephus Hulshof
Juan Luís Vázquez
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Entropy Solutions for Diffusion-Convection Equations with Partial Diffusivity
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1994
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M. Escobedo
Juan Luís Vázquez
Enrique Zuazua
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Asymptotic behaviour for an equation of superslow diffusion. The Cauchy problem
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1994
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Victor A. Galaktionov
Juan Luís Vázquez
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Asymptotic behaviour for an equation of superslow diffusion in a bounded domain
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1994
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Victor A. Galaktionov
Róbert Kersner
Juan Luís Vázquez
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Entropy solutions for diffusion-convection equations with partial diffusivity
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1994
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Miguel Escobedo
Juan Luís Vázquez
Enrique Zuazua
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Extinction for a quasilinear heat equation with absorprtion i. technique of intersection comparison
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1994
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Victor A. Galaktionov
Juan Luís Vázquez
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Extinction for a quasilinear heat equation with absorption ii. a dynamical systems approach
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1994
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Victor A. Galaktionov
Juan Luís Vázquez
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Existence and uniqueness of solutions of diffusion-absorption equations with general data
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1994
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Juan Luís Vázquez
Magdalena Walias
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Nonlinear Elliptic Equations in RN without Growth Restrictions on the Data
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1993
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Lucio Boccardo
Thierry Gallouët
Juan Luís Vázquez
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Regional Blow Up in a Semilinear Heat Equation with Convergence to a Hamilton–Jacobi Equation
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1993
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Victor A. Galaktionov
Juan Luís Vázquez
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Anomalous exponents in nonlinear diffusion
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1993
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D. G. Aronson
Juan Luís Vázquez
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Asymptotic Behavior of the Solutions of a Nonlinear Fokker-Planck Equation with Dirichlet Boundary Conditions
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1993
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E. Comparini
Riccardo Ricci
Juan Luís Vázquez
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The Dipole solution for the porous medium equation in several space dimensions
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1993
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Josephus Hulshof
Juan Luís Vázquez
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Asymptotic behaviour of nonlinear Parabolic Equations. Anomalous Exponents
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1993
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Juan Luís Vázquez
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Stabilization of solutions of weakly singular quenching problems
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1993
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Марек Фила
Howard A. Levine
Juan Luís Vázquez
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Asymptotic behaviour and source-type solutions for a diffusion-convection equation
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1993
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Miguel Escobedo
Juan Luís Vázquez
Enrique Zuazua
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Singular solutions of some nonlinear parabolic equations
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1992
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S. Kamin
Juan Luís Vázquez
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A diffusion-convection equation in several space dimensions
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1992
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Miguel Escobedo
Juan Luís Vázquez
Enrique Zuazua
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The propagation of turbulent bursts
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1992
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S. Kamin
Juan Luís Vázquez
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An overdetermined initial and boundary-value problem for a reaction-diffusion equation
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1992
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Arturo de Pablo
Juan Luís Vázquez
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A Nonlinear Diffusion-Absorption Equation with Unbounded Initial Data
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1992
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S. Kamin
L. A. Peletier
Juan Luís Vázquez
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An Introduction to the Mathematical Theory of the Porous Medium Equation
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1992
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Juan Luís Vázquez
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Maximal Solutions of Singular Diffusion Equations with General Initial Data
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1992
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Ana Alonso Rodríguez
Juan Luís Vázquez
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Regularity of solutions and interfaces of a generalized porous medium equation inR N
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1991
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Arturo de Pablo
Juan Luís Vázquez
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Asymptotic behaviour of nonlinear parabolic equations with critical exponents. A dynamical systems approach
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1991
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Victor A. Galaktionov
Juan Luís Vázquez
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Travelling waves and finite propagation in a reaction-diffusion equation
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1991
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Arturo de Pablo
Juan Luís Vázquez
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Source-type solutions and asymptotic behaviour for a diffusion-convection equation
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1991
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Miguel Escobedo
Juan Luís Vázquez
Enrique Zuazua
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Diffusivity determination in nonlinear diffusion
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1991
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Carmen Cortázar
Manuel Elgueta
Juan Luís Vázquez
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Asymptotic Behaviour of Solutions of the Porous Medium Equation with Changing Sign
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1991
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S. Kamin
Juan Luís Vázquez
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Solutions of a nonlinear ODE appearing in the theory of diffusion with absorption
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1991
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J. B. McLeod
L. A. Peletier
Juan Luís Vázquez
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Schrödinger equations with unique positive isolated singularities
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1990
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Juan Luís Vázquez
Cecilia Yarur
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Bounded speed of propagation for solutions to radiative transfer equations
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1990
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Benoı̂t Perthame
Juan Luís Vázquez
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A well posed problem in singular Fickian diffusion
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1990
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Ana Alonso Rodríguez
Juan Luís Vázquez
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The Balance Between Strong Reaction And Slow Diffusion
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1990
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Arturo de Pablo
Juan Luís Vázquez
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Isolated Singularities of the Schrodinger Equation with a Good Potential
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1989
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Juan Luís Vázquez
Cecilia Yarur
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Classification of singular solutions of a nonlinear heat equation
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1989
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S. Kamin
L. A. Peletier
Juan Luís Vázquez
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Isolated singularities of the Schrödinger equation with a good potential
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1989
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Juan Luís Vázquez
Cecilia Yarur
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Regularity of solutions and interfaces of the porous medium equation via local estimates
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1989
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Juan Luís Vázquez
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Eventual C∞-Regularity and Concavity for Flows in One-Dimensional Porous Media
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1989
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D. G. Aronson
Juan Luís Vázquez
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Fundamental Solutions and Asymptotic Behaviour for the $p$-Laplacian Equation
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1988
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S. Kamin
Juan Luís Vázquez
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Thermal waves in absorbing media
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1988
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Miguel A. Herrero
Juan Luís Vázquez
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A Nonlinear heat equation with singular diffusivity
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1988
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Juan R. Esteban
Ana Alonso Rodríguez
Juan Luís Vázquez
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Homogeneous diffusion in ? with power-like nonlinear diffusivity
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1988
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Juan R. Esteban
Juan Luís Vázquez
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Isolated singularities of the solutions of the Schrödinger equation with a radial potential
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1987
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Juan Luís Vázquez
Cecilia Yarur
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The porous medium equation as a finite-speed approximation to a Hamilton-Jacobi equation
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1987
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D. G. Aronson
Juan Luís Vázquez
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Hyperbolic Aspects in the Theory of the Porous Medium Equation
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1987
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Juan Luís Vázquez
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The One-Dimensional Nonlinear Heat Equation with Absorption: Regularity of Solutions and Interfaces
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1987
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Miguel A. Herrero
Juan Luís Vázquez
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Concavity of solutions of the porous medium equation
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1987
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Philippe Benilán
Juan Luís Vázquez
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Eventual C?-regularity and concavity for flows in one-dimensional porous media
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1987
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D. G. Aronson
Juan Luís Vázquez
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Cinfinity-Regularity of Solutions and Interfaces of the Porous Medium Equation
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1987
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Juan Luís Vázquez
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Concavity of Solutions of the Porous Medium Equation
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1987
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Philippe Benilán
Juan Luís Vázquez
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On the equation of turbulent filtration in one- dimensional porous media
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1986
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Juan R. Esteban
Juan Luís Vázquez
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Isolated singularities of some semilinear elliptic equations
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1985
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Juan Luís Vázquez
Лаурент Верон
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Interfaces with a corner point in one‐dimensional porous medium flow
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1985
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D. G. Aronson
Luis Caffarelli
Juan Luís Vázquez
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Lipschitz Continuity o f Solutions and Interfaces of the N-Dimensional Porous Medium Equation
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1985
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Luis Caffarelli
Juan Luís Vázquez
Noemí Wolanski
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A symmetrization result for elliptic equations with lower-order terms
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1985
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Guido Trombetti
Juan Luís Vázquez
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Existence and regularity of solutions for a semilinear first-order equation on the torus
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1984
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Juan Luís Vázquez
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Singularities of elliptic equations with an exponential nonlinearity
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1984
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Juan Luís Vázquez
Лаурент Верон
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Behaviour of the velocity of one-dimensional flows in porous media
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1984
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Juan Luís Vázquez
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The Interfaces of One-Dimensional Flows in Porous Media.
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1983
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Juan Luís Vázquez
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Asymptotic behaviour and propagation properties of the one-dimensional flow of gas in a porous medium
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1983
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Juan Luís Vázquez
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On a semilinear equation in ℝ<sup>2</sup>involving bounded measures
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1983
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Juan Luís Vázquez
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Monotone perturbations of the laplacian inL 1(R N )
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1982
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Juan Luís Vázquez
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On the propagation properties of a nonlinear degenerate parabolic equation
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1982
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Miguel A. Herrero
Juan Luís Vázquez
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Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem
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1981
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Miguel A. Herrero
Juan Luís Vázquez
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Existence of solutions bounded at infinity for a semilinear elliptic equation on RN
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1980
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Juan Luís Vázquez
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