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Solutions with moving singularities for a one-dimensional nonlinear diffusion equation
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2024
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Марек Фила
Jin Takahashi
Eiji Yanagida
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PDF
Chat
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Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data
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2023
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
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+
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Fast diffusion equation: uniqueness of solutions with a moving singularity
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2023
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Марек Фила
Petra Macková
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PDF
Chat
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Anisotropic and isotropic persistent singularities of solutions of the fast diffusion equation
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2022
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Марек Фила
Petra Macková
Jin Takahashi
Eiji Yanagida
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+
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Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data
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2022
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
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+
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Solutions with snaking singularities for the fast diffusion equation
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2021
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Марек Фила
John R. King
Jin Takahashi
Eiji Yanagida
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+
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Solutions with snaking singularities for the fast diffusion equation
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2021
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Марек Фила
John R. King
Jin Takahashi
Eiji Yanagida
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+
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Anisotropic and isotropic persistent singularities of solutions of the fast diffusion equation
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2021
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Марек Фила
Petra Macková
Jin Takahashi
Eiji Yanagida
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The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition
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2020
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
Johannes Lankeit
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+
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Moving singularities for nonlinear diffusion equations in two space dimensions
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2020
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Марек Фила
Petra Macková
Jin Takahashi
Eiji Yanagida
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PDF
Chat
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A Gagliardo–Nirenberg Type Inequality for Rapidly Decaying Functions
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2020
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Марек Фила
Johannes Lankeit
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PDF
Chat
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The large diffusion limit for the heat equation with a dynamical boundary condition
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2020
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
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PDF
Chat
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Lack of smoothing for bounded solutions of a semilinear parabolic equation
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2020
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Марек Фила
Johannes Lankeit
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PDF
Chat
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The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition
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2020
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
Johannes Lankeit
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+
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The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition
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2020
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
Johannes Lankeit
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+
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A Gagliardo-Nirenberg type inequality for rapidly decaying functions
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2019
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Марек Фила
Johannes Lankeit
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+
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A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation
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2019
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Марек Фила
Michael Winkler
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PDF
Chat
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Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition
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2019
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
Johannes Lankeit
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PDF
Chat
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Continuation beyond interior gradient blow-up in a semilinear parabolic equation
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2019
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Марек Фила
Johannes Lankeit
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+
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Lack of smoothing for bounded solutions of a semilinear parabolic equation
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2019
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Марек Фила
Johannes Lankeit
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+
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Continuation beyond interior gradient blow-up in a semilinear parabolic equation.
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2019
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Марек Фила
Johannes Lankeit
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+
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A Gagliardo-Nirenberg type inequality for rapidly decaying functions
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2019
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Марек Фила
Johannes Lankeit
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+
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Lack of smoothing for bounded solutions of a semilinear parabolic equation
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2019
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Марек Фила
Johannes Lankeit
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+
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Continuation beyond interior gradient blow-up in a semilinear parabolic equation
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2019
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Марек Фила
Johannes Lankeit
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+
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Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition
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2019
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
Johannes Lankeit
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+
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Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition
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2018
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
Johannes Lankeit
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+
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Solutions with moving singularities for equations of porous medium type
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2018
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Марек Фила
Jin Takahashi
Eiji Yanagida
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+
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The large diffusion limit for the heat equation with a dynamical boundary condition
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2018
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
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+
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A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation
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2017
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Марек Фила
Michael Winkler
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+
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An exterior nonlinear elliptic problem with a dynamical boundary condition
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2017
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
|
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PDF
Chat
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Slow growth of solutions of superfast diffusion equations with unbounded initial data
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2017
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Марек Фила
Michael Winkler
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+
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Non-uniqueness of Solutions of a Semilinear Heat Equation with Singular Initial Data
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2017
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Марек Фила
Hiroshi Matano
Eiji Yanagida
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+
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A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation
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2017
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Марек Фила
Michael Winkler
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+
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Slow growth of solutions of super-fast diffusion equations with unbounded initial data
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2016
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Марек Фила
Michael Winkler
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PDF
Chat
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Rate of convergence to separable solutions of the fast diffusion equation
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2016
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Марек Фила
Michael Winkler
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+
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Optimal rates of convergence to the singular Barenblatt profile for the fast diffusion equation
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2016
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Марек Фила
Michael Winkler
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+
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Very slow stabilization for a nonlinear Fokker–Planck equation
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2016
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Марек Фила
Hannes Stuke
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+
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Slow growth of solutions of super-fast diffusion equations with unbounded initial data
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2016
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Марек Фила
Michael Winkler
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+
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Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition
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2015
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
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+
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Positive Solutions of a Semilinear Elliptic Equation with Singular Dirichlet Boundary Data
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2015
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
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+
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Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition
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2015
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
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+
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Sharp rate of convergence to Barenblatt profiles for a critical fast diffusion equation
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2014
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Марек Фила
Michael Winkler
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PDF
Chat
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Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent
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2014
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Марек Фила
John R. King
Michael Winkler
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Rate of Convergence to Separable Solutions of the Fast Diffusion Equation
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2014
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Марек Фила
Michael Winkler
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+
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Non-accessible singular homoclinic orbits for a semilinear parabolic equation
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2014
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Марек Фила
Eiji Yanagida
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+
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Extinction of solutions of the fast diffusion equation (Nonlinear Partial Differential Equations, Dynamical Systems and Their Applications)
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2014
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Марек Фила
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Special asymptotics for a critical fast diffusion equation
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2014
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Марек Фила
Hannes Stuke
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+
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Rate of Convergence to Separable Solutions of the Fast Diffusion Equation
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2014
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Марек Фила
Michael Winkler
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+
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Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition
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2013
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
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Large-time behavior of small solutions of a two-dimensional semilinear elliptic equation with a dynamical boundary condition
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2013
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
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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
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Марек Фила
Juan Luís Vázquez
Michael Winkler
Eiji Yanagida
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PDF
Chat
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Grow up and slow decay in the critical Sobolev case
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2012
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Марек Фила
John R. King
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Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition
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2012
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Марек Фила
Kazuhiro Ishige
Tatsuki Kawakami
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PDF
Chat
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A continuum of extinction rates for the fast diffusion equation
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2011
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Michael Winkler
Juan Luís Vázquez
Марек Фила
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PDF
Chat
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Very slow grow-up of solutions of a semi-linear parabolic equation
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2011
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Марек Фила
John R. King
Michael Winkler
Eiji Yanagida
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PDF
Chat
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Homoclinic and heteroclinic orbits for a semilinear parabolic equation
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2011
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Марек Фила
Eiji Yanagida
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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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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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Backward selfsimilar solutions of supercritical parabolic equations
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2008
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Марек Фила
Aappo Pulkkinen
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+
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Rate of convergence to a singular steady state of a supercritical parabolic equation
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2008
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Марек Фила
Michael Winkler
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PDF
Chat
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Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed
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2008
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Марек Фила
Michael Winkler
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PDF
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Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation
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2008
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Марек Фила
Aappo Pulkkinen
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PDF
Chat
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Convergence of solutions of a semilinear parabolic equation to selfsimilar solutions of the linear heat equation
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2008
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Марек Фила
Michael Winkler
Eiji Yanagida
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PDF
Chat
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Convergence to self-similar solutions for a semilinear parabolic equation
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2008
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Марек Фила
Michael Winkler
Eiji Yanagida
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+
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Slow convergence to zero for a parabolic equation with a supercritical nonlinearity
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2007
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Марек Фила
Michael Winkler
Eiji Yanagida
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+
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Linear behaviour of solutions of a superlinear heat equation
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2007
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Марек Фила
John R. King
Michael Winkler
Eiji Yanagida
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+
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Boundedness of global solutions of a supercritical parabolic equation
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2007
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Xinfu Chen
Марек Фила
Jong‐Shenq Guo
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PDF
Chat
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Grow-up rate of solutions of a semilinear parabolic equation with a critical exponent
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2007
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Марек Фила
John R. King
Michael Winkler
Eiji Yanagida
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Convergence to a singular steady state of a parabolic equation with gradient blow-up
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2006
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Марек Фила
Jari Taskinen
Michael Winkler
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Optimal lower bound of the grow-up rate for a supercritical parabolic equation
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2006
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Марек Фила
John R. King
Michael Winkler
Eiji Yanagida
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Grow-up on the Boundary for a Semilinear Parabolic Problem
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2006
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Марек Фила
Juan J. L. Velázquez
Michael Winkler
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PDF
Chat
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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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Convergence Rate for a Parabolic Equation with Supercritical Nonlinearity
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2005
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Марек Фила
Michael Winkler
Eiji Yanagida
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+
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Blow-up of Solutions of Supercritical Parabolic Equations
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2005
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Марек Фила
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Immediate Regularization after Blow-up
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2005
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Марек Фила
Hiroshi Matano
Peter Poláčik
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PDF
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Системы “реакция-диффузия”: разрушение решений, возникающее и исчезающее под действием диффузии
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2005
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Марек Фила
Марек Фила
Хироказу Ниномия
Hirokazu Ninomiya
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Singularity formation in non‐linear evolution equations
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2004
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Марек Фила
Paul Sacks
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+
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Grow-up rate of solutions for a supercritical semilinear diffusion equation
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2004
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Марек Фила
Michael Winkler
Eiji Yanagida
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+
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Positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition
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2003
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Miroslav Chleb�l
Марек Фила
Wolfgang Reichel
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Blow-up of positive solutions of a semilinear parabolic equation with a gradient term
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2003
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Miroslav Chlebík
Марек Фила
Pavol Quíttner
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fMathematik in den Naturwissenschaften
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2003
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Miroslav Chleb ́ õk
Марек Фила
Pavol Quíttner
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+
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Boundedness of global solutions of nonlinear parabolic equations
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2002
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Марек Фила
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+
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Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition
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2002
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Марек Фила
Jong‐Shenq Guo
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+
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Blow-up in Nonlinear Heat Equations from the Dynamical Systems Point of View
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2002
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Марек Фила
Hiroshi Matano
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+
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None
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2002
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Марек Фила
Hiroshi Matano
Peter Poláčik
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+
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The blow-up rate for semilinear parabolic problems on general domains
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2001
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Марек Фила
Philippe Souplet
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PDF
Chat
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Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem
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2001
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Марек Фила
Philippe Souplet
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+
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Linear and nonlinear heat equations in $L^q_\delta$ spaces and universal bounds for global solutions
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2001
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Марек Фила
Philippe Souplet
Fred B. Weissler
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+
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On the blow‐up rate for the heat equation with a nonlinear boundary condition
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2000
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Miroslav Chlebík
Марек Фила
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+
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Some recent results on blow-up on the boundary for the heat equation
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2000
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Miroslav Chlebík
Марек Фила
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+
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Blow-up on the boundary for the heat equation
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2000
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Марек Фила
Ján Filo
Gary M. Lieberman
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PDF
Chat
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Connecting equilibria by blow-up solutions
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2000
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Марек Фила
Hiroshi Matano
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+
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On the blow-up rate for the heat equation with a nonlinear boundary condition
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2000
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Miroslav Chleb�k
Марек Фила
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+
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The Blow-Up Rate for a Semilinear Parabolic System
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1999
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Марек Фила
Pavol Quíttner
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+
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From critical exponents to blow-up rates for parabolic problems
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1999
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Miroslav Chlebík
Марек Фила
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PDF
Chat
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Global solutions of a semilinear parabolic equation
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1999
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Марек Фила
Peter Poláčik
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+
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Large Time Behavior of Solutions of a Semilinear Parabolic Equation with a Nonlinear Dynamical Boundary Condition
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1999
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Марек Фила
Pavol Quíttner
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+
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Existence of Positive Solutions of a Semilinear Elliptic Equation in Rn+with a Nonlinear Boundary Condition
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1998
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Michel Chipot
Miroslav Chlebík
Марек Фила
Itai Shafrir
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On the Boundedness of Global Solutions of Abstract Semilinear Parabolic Equations
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1997
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Марек Фила
Howard A. Levine
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+
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Boundedness of global solutions of nonlocal parabolic equations
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1997
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Марек Фила
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+
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Global solutions of the Laplace equation with a nonlinear dynamical boundary condition
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1997
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Марек Фила
Pavol Quíttner
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+
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A FUJITA-TYPE THEOREM FOR THE LAPLACE EQUATION WITH A DYNAMICAL BOUNDARY CONDITION
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1997
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Herbert Amann
Марек Фила
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On Critical Exponents for a Semilinear Parabolic System Coupled in an Equation and a Boundary Condition
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1996
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Марек Фила
Howard A. Levine
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PDF
Chat
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Blow-up on the boundary: a survey
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1996
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Марек Фила
Ján Filo
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+
PDF
Chat
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Interior gradient blow-up in a semilinear parabolic equation
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1996
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Sigurd Angenent
Марек Фила
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PDF
Chat
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On the solutions to some elliptic equations with nonlinear Neumann boundary conditions
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1996
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Michel Chipot
Марек Фила
Itai Shafrir
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A Fujita‐type global existence—global non‐existence theorem for a system of reaction diffusion equations with differing diffusivities
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1994
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Марек Фила
Howard A. Levine
Yoshitaka Uda
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PDF
Chat
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Derivative blow-up and beyond for quasilinear parabolic equations
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1994
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Марек Фила
Gary M. Lieberman
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+
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ON CRITICAL EXPONENTS FOR A SYSTEM OF HEAT EQUATIONS COUPLED IN THE BOUNDARY CONDITIONS
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1994
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Keng Deng
Марек Фила
Howard A. Levine
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Quenching on the boundary
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1993
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Марек Фила
Howard A. Levine
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PDF
Chat
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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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+
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Boundedness of global solutions of nonlinear diffusion equations
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1992
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Марек Фила
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+
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The Quenching Problem on the N-dimensional Ball
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1992
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Марек Фила
Josephus Hulshof
Pavol Quíttner
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PDF
Chat
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Quenching for Quasilinear Equations
|
1992
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Марек Фила
Bernhard Kawohl
Howard A. Levine
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+
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A Note on the Quenching Rate
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1991
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Марек Фила
Josephus Hulshof
|
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PDF
Chat
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Remarks on blow up for a nonlinear parabolic equation with a gradient term
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1991
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Марек Фила
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+
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The blow‐up rate for the heat equation with a non‐linear boundary condition
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1991
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Марек Фила
Pavol Quíttner
|
+
PDF
Chat
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Remarks on Blow Up for a Nonlinear Parabolic Equation with a Gradient Term
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1991
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Марек Фила
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PDF
Chat
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A note on the quenching rate
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1991
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Марек Фила
Josephus Hulshof
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+
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Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions
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1991
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Michel Chipot
Марек Фила
Pavol Quíttner
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+
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Blow up for a nonlinear degenerate parabolic equation
|
1990
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Марек Фила
Ján Filo
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+
PDF
Chat
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Is quenching in infinite time possible?
|
1990
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Марек Фила
Bernhard Kawohl
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+
PDF
Chat
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Global behaviour of solutions to some nonlinear diffusion equations
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1990
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Марек Фила
Ján Filo
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+
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A blow-up result for nonlinear diffusion equations
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1989
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Марек Фила
Ján Filo
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+
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Boundedness of global solutions for the heat equation with nonlinear boundary conditions
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1989
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Марек Фила
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+
PDF
Chat
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Stabilization of solutions of a reaction-diffusion equation
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1987
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Марек Фила
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+
PDF
Chat
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On some properties of solutions of the Cauchy problem for a quasilinear parabolic equation
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1984
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Марек Фила
|