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Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger
equation
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2024
|
Valeria Banica
Luis Vega
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PDF
Chat
|
Multifractality and polygonal vortex filaments
|
2024
|
Valeria Banica
Daniel Eceizabarrena
Andrea R. Nahmod
Luis Vega
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PDF
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Labelled graphs as a Morita equivalence invariant of inverse semigroups
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2024
|
Zachary Duah
Stian Du Preez
David J. Milan
Shreyas Ramamurthy
Luis Vega
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PDF
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On the fractional Sch\"odinger equation with variable coefficients
|
2024
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Carlos E. Kenig
Didier Pilod
Gustavo Ponce
Luis Vega
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Multifractality and intermittency in the limit evolution of polygonal vortex filaments
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2024
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Valeria Banica
Daniel Eceizabarrena
Andrea R. Nahmod
Luis Vega
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PDF
Chat
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Steady solutions for the Schrödinger map equation
|
2024
|
Claudia GarcĂa
Luis Vega
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+
PDF
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New Conservation Laws and Energy Cascade for 1d Cubic NLS and the Schrödinger Map
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2024
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Valeria Banica
Luis Vega
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+
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Blow-Up for the 1D Cubic NLS
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2024
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Valeria Banica
Renato LucĂ
Nikolay Tzvetkov
Luis Vega
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+
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The FrischâParisi Formalism for Fluctuations of the Schrödinger Equation
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2024
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Sandeep Kumar
Felipe Ponce-Vanegas
Luz Roncal
Luis Vega
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PDF
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Reconnection of infinitely thin antiparallel vortices and coherent structures
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2023
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Sergei Iakunin
Luis Vega
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+
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Steady solutions for the Schrödinger map equation
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2023
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Claudia GarcĂa
Luis Vega
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+
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New Conservation Laws and Energy Cascade for 1d Cubic NLS and the Schrödinger map
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2023
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Valeria Banica
Luis Vega
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+
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Blow-up for the 1D cubic NLS
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2023
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Valeria Banica
Renato LucĂ
Nikolay Tzvetkov
Luis Vega
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+
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Reconnection of infinitely thin antiparallel vortices and coherent structures
|
2023
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S. A. Iakunin
Luis Vega
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+
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Multifractality and intermittency in the limit evolution of polygonal vortex filaments
|
2023
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Valeria Banica
Daniel Eceizabarrena
Andrea R. Nahmod
Luis Vega
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+
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Evolution of viscous vortex filaments and desingularization of the Biot-Savart integral
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2023
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Marco A. Fontelos
Luis Vega
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PDF
Chat
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Eigenvalue Curves for Generalized MIT Bag Models
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2022
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Naiara Arrizabalaga
Albert Mas Blesa
TomĂĄs Sanz-Perela
Luis Vega
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PDF
Chat
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Riemannâs Non-differentiable Function and the Binormal Curvature Flow
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2022
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Valeria Banica
Luis Vega
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+
PDF
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Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow
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2022
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Valeria Banica
Luis Vega
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+
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Static and dynamical, fractional uncertainty principles
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2022
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Sandeep Kumar
Felipe Ponce-Vanegas
Luis Vega
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+
PDF
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Carleman type inequalities for fractional relativistic operators
|
2022
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Luz Roncal
Diana Stan
Luis Vega
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+
PDF
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On the one dimensional cubic NLS in a critical space
|
2022
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Marco Bravin
Luis Vega
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+
PDF
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Riemann's non-differentiable function and the binormal curvature flow
|
2022
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Valeria Banica
Luis Vega
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+
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On the one dimensional cubic NLS in a critical space
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2021
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Marco Bravin
Luis Vega
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+
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Static and Dynamical, Fractional Uncertainty Principles
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2021
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Shashi Kumar
Felipe Ponce-Vanegas
Luis Vega
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+
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On the one dimensional cubic NLS in a critical space
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2021
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Marco Bravin
Luis Vega
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+
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Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow
|
2021
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Valeria Banica
Luis Vega
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+
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Static and Dynamical, Fractional Uncertainty Principles
|
2021
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Sandeep Kumar
Felipe Ponce-Vanegas
Luis Vega
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+
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Eigenvalue curves for generalized MIT bag models
|
2021
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Naiara Arrizabalaga
Albert Mas Blesa
TomĂĄs Sanz-Perela
Luis Vega
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+
PDF
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Evolution of Polygonal Lines by the Binormal Flow
|
2020
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Valeria Banica
Luis Vega
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+
PDF
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On the improvement of the Hardy inequality due to singular magnetic fields
|
2020
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Luca Fanelli
David KrejÄiĆıÌk
ĐŃĐž ĐĐ°ĐżŃĐ”ĐČ
Luis Vega
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PDF
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On the energy of critical solutions of the binormal flow
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2020
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Valeria Banica
Luis Vega
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+
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Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation
|
2020
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SimĂŁo Correia
Raphaël CÎte
Luis Vega
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PDF
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On the unique continuation of solutions to non-local non-linear dispersive equations
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2020
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Carlos E. Kenig
Didier Pilod
Gustavo Ponce
Luis Vega
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+
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On the unique continuation of solutions to non-local non-linear dispersive equations.
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2020
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Carlos E. Kenig
Didier Pilod
Gustavo Ponce
Luis Vega
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+
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Bilinear identities involving the<i>k</i>-plane transform and Fourier extension operators
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2020
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David Beltran
Luis Vega
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PDF
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On the Evolution of the Vortex Filament Equation for Regular $M$-Polygons with Nonzero Torsion
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2020
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Francisco de la Hoz
Sandeep Kumar
Luis Vega
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+
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Vortex Filament Equation for a regular polygon in the hyperbolic plane
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2020
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Francisco de la Hoz
Sandeep Kumar
Luis Vega
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+
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On the unique continuation of solutions to non-local non-linear dispersive equations
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2020
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Carlos E. Kenig
Didier Pilod
Gustavo Ponce
Luis Vega
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PDF
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Self-Similar Dynamics for the Modified Kortewegâde Vries Equation
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2019
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SimĂŁo Correia
Raphaël CÎte
Luis Vega
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PDF
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Uniqueness properties of solutions to the Benjamin-Ono equation and related models
|
2019
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
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On the Evolution of the Vortex Filament Equation for regular $M$-polygons with nonzero torsion
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2019
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Francisco de la Hoz
Sandeep Kumar
Luis Vega
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+
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Bilinear identities involving the $k$-plane transform and Fourier extension operators.
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2019
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David Beltran
Luis Vega
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+
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On the energy of critical solutions of the binormal flow
|
2019
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Valeria Banica
Luis Vega
|
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PDF
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A Hardy-type inequality and some spectral characterizations for the DiracâCoulomb operator
|
2019
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Biagio Cassano
Fabio Pizzichillo
Luis Vega
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+
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Self-similar dynamics for the modified Korteweg-de Vries equation
|
2019
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SimĂŁo Correia
Raphaël CÎte
Luis Vega
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+
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Uniqueness Properties of Solutions to the Benjamin-Ono equation and related models
|
2019
|
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
PDF
Chat
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Some Lower Bounds for Solutions of Schrödinger Evolutions
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2019
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Mikel Agirre
Luis Vega
|
+
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Carleman type inequalities for fractional relativistic operators
|
2019
|
Luz Roncal
Diana Stan
Luis Vega
|
+
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On the Evolution of the Vortex Filament Equation for regular $M$-polygons with nonzero torsion
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2019
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Francisco de la Hoz
Sandeep Kumar
Luis Vega
|
+
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Bilinear identities involving the $k$-plane transform and Fourier extension operators
|
2019
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David BeltrĂĄn
Luis Vega
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+
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On the energy of critical solutions of the binormal flow
|
2019
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Valeria Banica
Luis Vega
|
+
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Uniqueness Properties of Solutions to the Benjamin-Ono equation and related models
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2019
|
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
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Self-similar dynamics for the modified Korteweg-de Vries equation
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2019
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SimĂŁo Correia
Raphaël CÎte
Luis Vega
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+
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A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator
|
2018
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Biagio Cassano
Fabio Pizzichillo
Luis Vega
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+
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Some lower bounds for solutions of Schrodinger evolutions.
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2018
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Mikel Agirre
Luis Vega
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+
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Absence of eigenvalues of two-dimensional magnetic Schrödinger operators
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2018
|
Luca Fanelli
David KrejÄiĆıÌk
Luis Vega
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+
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On the improvement of the Hardy inequality due to singular magnetic fields
|
2018
|
Luca Fanelli
David KrejÄiĆıÌk
ĐŃĐž ĐĐ°ĐżŃĐ”ĐČ
Luis Vega
|
+
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Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation
|
2018
|
SimĂŁo Correia
Raphaël CÎte
Luis Vega
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+
PDF
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Erratum: âSelf-adjoint extensions of Dirac operators with Coulomb type singularityâ [J. Math. Phys. 54, 041504 (2013)]
|
2018
|
Naiara Arrizabalaga
Javier Duoandikoetxea
Luis Vega
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PDF
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A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and $\delta$-shell interactions
|
2018
|
Thomas OurmiĂšres-Bonafos
Luis Vega
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PDF
Chat
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On the Relationship Between the One-Corner Problem and the M-Corner Problem for the Vortex Filament Equation
|
2018
|
Francisco de la Hoz
Luis Vega
|
+
PDF
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Spectral stability of Schrödinger operators with subordinated complex potentials
|
2018
|
Luca Fanelli
David KrejÄiĆıÌk
Luis Vega
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+
PDF
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Singularity formation for the 1-D cubic NLS and the Schrödinger map on <inline-formula><tex-math id="M1">\begin{document}$\mathbb S^2$\end{document}</tex-math></inline-formula>
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2018
|
Valeria Banica
Luis Vega
|
+
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A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator
|
2018
|
Biagio Cassano
Fabio Pizzichillo
Luis Vega
|
+
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Some lower bounds for solutions of Schrodinger evolutions
|
2018
|
Mikel Agirre
Luis Vega
|
+
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On the improvement of the Hardy inequality due to singular magnetic fields
|
2018
|
Luca Fanelli
David KrejÄiĆıÌk
ĐŃĐž ĐĐ°ĐżŃĐ”ĐČ
Luis Vega
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A Hardware-Software Blueprint for Flexible Deep Learning Specialization
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2018
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Thierry Moreau
Tianqi Chen
Luis Vega
Jared Roesch
Eddie Yan
Lianmin Zheng
Josh Fromm
Ziheng Jiang
LuĂs Ceze
Carlos Guestrin
|
+
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Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation
|
2018
|
SimĂŁo Correia
Raphaël CÎte
Luis Vega
|
+
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Absence of eigenvalues of two-dimensional magnetic Schroedinger operators
|
2017
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Luca Fanelli
David KrejÄiĆıÌk
Luis Vega
|
+
PDF
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Optimal Staged Self-Assembly of General Shapes
|
2017
|
Cameron Chalk
Eric Martinez
Robert Schweller
Luis Vega
Andrew Winslow
Tim Wylie
|
+
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Uniqueness properties for discrete equations and Carleman estimates
|
2017
|
Aingeru FernĂĄndez-Bertolin
Luis Vega
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+
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Singularity formation for the 1-D cubic NLS and the Schrödinger map on $\mathbb{S}^2$
|
2017
|
Valeria Banica
Luis Vega
|
+
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Universal Shape Replicators via Self-Assembly with Attractive and Repulsive Forces
|
2017
|
Cameron Chalk
Erik D. Demaine
Martin L. Demaine
Eric Martinez
Robert Schweller
Luis Vega
Tim Wylie
|
+
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Absence of eigenvalues of two-dimensional magnetic Schroedinger operators
|
2017
|
Luca Fanelli
David KrejÄiĆıÌk
Luis Vega
|
+
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Singularity formation for the 1-D cubic NLS and the Schrödinger map on $\mathbb S^2$
|
2017
|
Valeria Banica
Luis Vega
|
+
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A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions
|
2016
|
Thomas OurmiĂšres-Bonafos
Luis Vega
|
+
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On the regularity of solutions to the đ-generalized Korteweg-de Vries equation
|
2016
|
Carlos E. Kenig
Felipe Linares
Gustavo Ponce
Luis Vega
|
+
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On the regularity of solutions to the $k$-generalized Korteweg-de Vries equation
|
2016
|
Carlos E. Kenig
Felipe Linares
Gustavo Ponce
Luis Vega
|
+
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Universal Shape Replicators via Self-Assembly with Attractive and Repulsive Forces
|
2016
|
Cameron Chalk
Erik D. Demaine
Martin L. Demaine
Eric J. Alfaro MartĂnez
Robert Schweller
Luis Vega
Tim Wylie
|
+
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On the regularity of solutions to the $k$-generalized Korteweg-de Vries equation
|
2016
|
Carlos E. Kenig
Felipe Linares
Gustavo Ponce
Luis Vega
|
+
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A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions
|
2016
|
Thomas OurmiĂšres-Bonafos
Luis Vega
|
+
PDF
Chat
|
Hardy Uncertainty Principle, Convexity and Parabolic Evolutions
|
2015
|
Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
|
+
PDF
Chat
|
An Isoperimetric-Type Inequality for Electrostatic Shell Interactions for Dirac Operators
|
2015
|
Naiara Arrizabalaga
Albert Mas Blesa
Luis Vega
|
+
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Optimal Staged Self-Assembly of General Shapes
|
2015
|
Cameron Chalk
Eric Martinez
Robert Schweller
Luis Vega
Andrew Winslow
Tim Wylie
|
+
PDF
|
Shell Interactions for Dirac Operators: On the Point Spectrum and the Confinement
|
2015
|
Naiara Arrizabalaga
Albert Mas Blesa
Luis Vega
|
+
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The dynamics of vortex filaments with corners
|
2015
|
Luis Vega
|
+
PDF
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The initial value problem for the Binormal Flow with rough data
|
2015
|
Valeria Banica
Luis Vega
|
+
|
Optimal Staged Self-Assembly of General Shapes
|
2015
|
Cameron Chalk
Eric J. Alfaro MartĂnez
Robert Schweller
Luis Vega
Andrew Winslow
Tim Wylie
|
+
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Spectral stability of Schroedinger operators with subordinated complex potentials
|
2015
|
Luca Fanelli
David KrejÄiĆıÌk
Luis Vega
|
+
PDF
|
Erratum to: Relativistic Hardy Inequalities in Magnetic Fields
|
2014
|
Luca Fanelli
Luis Vega
Nicola Visciglia
|
+
PDF
Chat
|
Vortex filament equation for a regular polygon
|
2014
|
Francisco de la Hoz
Luis Vega
|
+
PDF
Chat
|
The Vortex Filament Equation as a Pseudorandom Generator
|
2014
|
Francisco de la Hoz
Luis Vega
|
+
PDF
Chat
|
Relativistic Hardy Inequalities in Magnetic Fields
|
2014
|
Luca Fanelli
Luis Vega
Nicola Visciglia
|
+
|
Shell interactions for Dirac operators
|
2014
|
Naiara Arrizabalaga
Albert Mas Blesa
Luis Vega
|
+
|
Shell interactions for Dirac operators: on the point spectrum and the confinement
|
2014
|
Naiara Arrizabalaga
Albert Mas Blesa
Luis Vega
|
+
PDF
|
Shell interactions for Dirac operators: on the point spectrum and the
confinement
|
2014
|
Naiara Arrizabalaga
Albert Mas Blesa
Luis Vega
|
+
PDF
Chat
|
A theorem of Paley-Wiener type for Schrödinger evolutions
|
2014
|
Carlos E. Kenig
Gustavo Ponce
Luis Vega
|
+
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Shell interactions for Dirac operators: on the point spectrum and the confinement
|
2014
|
Naiara Arrizabalaga
Albert Mas Blesa
Luis Vega
|
+
PDF
Chat
|
Stability of the Self-similar Dynamics of a Vortex Filament
|
2013
|
Valeria Banica
Luis Vega
|
+
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The forward problem for the electromagnetic Helmholtz equation with critical singularities
|
2013
|
Juan Antonio BarcelĂł
Luis Vega
Miren Zubeldia
|
+
|
The initial value problem for the binormal flow with rough data
|
2013
|
Valeria Banica
Luis Vega
|
+
PDF
Chat
|
Self-adjoint extensions of Dirac operators with Coulomb type singularity
|
2013
|
Naiara Arrizabalaga
Javier Duoandikoetxea
Luis Vega
|
+
|
Shell interactions for Dirac operators
|
2013
|
Naiara Arrizabalaga
Albert Mas Blesa
Luis Vega
|
+
|
Shell interactions for Dirac operators
|
2013
|
Naiara Arrizabalaga
Albert Mas Blesa
Luis Vega
|
+
|
The initial value problem for the binormal flow with rough data
|
2013
|
Valeria Banica
Luis Vega
|
+
PDF
Chat
|
Discrete conservation laws and the convergence of long time simulations of the mkdv equation
|
2012
|
C. Gorria
Miguel Ă. Alejo
Luis Vega
|
+
|
The forward problem for the electromagnetic Helmholtz equation with critical singularities
|
2012
|
Juan Antonio BarcelĂł
Luis Vega
Miren Zubeldia
|
+
PDF
|
On the stability of self-similar solutions of 1D cubic Schrödinger equations
|
2012
|
Susana Gutiérrez
Luis Vega
|
+
|
The Gardner equation and the đżÂČ-stability of the đ-soliton solution of the Korteweg-de Vries equation
|
2012
|
Miguel Ă. Alejo
Claudio Muñoz
Luis Vega
|
+
PDF
Chat
|
Lower bounds for non-trivial travelling wave solutions of equations of KdV type
|
2012
|
Carlos E. Kenig
Gustavo Ponce
Luis Vega
|
+
|
A Theorem of Paley-Wiener Type for Schr\"odinger Evolutions
|
2012
|
Carlos E. Kenig
Gustavo Ponce
Luis Vega
|
+
PDF
Chat
|
Carleman estimates and necessary conditions for the existence of waveguides
|
2012
|
Luca Fanelli
Luis Vega
Luis Escauriaza
|
+
PDF
Chat
|
Scattering for solutions of NLS in the exterior of a 2d star--shaped obstacle
|
2012
|
Fabrice Planchon
Luis Vega
|
+
PDF
|
Scattering for solutions of NLS in the exterior of a 2D starâshaped obstacle
|
2012
|
Fabrice Planchon
Luis Vega
|
+
|
A Theorem of Paley-Wiener Type for Schrödinger Evolutions
|
2012
|
Carlos E. Kenig
Gustavo Ponce
Luis Vega
|
+
|
The forward problem for the electromagnetic Helmholtz equation with critical singularities
|
2012
|
Juan Antonio BarcelĂł
Luis Vega
Miren Zubeldia
|
+
|
Existence of maximizers for SobolevâStrichartz inequalities
|
2011
|
Luca Fanelli
Luis Vega
Nicola Visciglia
|
+
PDF
|
Uniqueness properties of solutions to Schrödinger equations
|
2011
|
Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
|
+
PDF
|
Scattering for 1D cubic NLS and singular vortex dynamics
|
2011
|
Valeria Banica
Luis Vega
|
+
|
Uniqueness Properties of Solutions to Schr\"odinger Equations
|
2011
|
Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
|
+
|
Discrete conservation laws and the convergence of long time simulations of the mKdV equation
|
2011
|
C. Gorria
Miguel Ă. Alejo
Luis Vega
|
+
PDF
Chat
|
Unique Continuation for Schrödinger Evolutions, with Applications to Profiles of Concentration and Traveling Waves
|
2011
|
Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
|
+
|
Carleman estimates and necessary conditions for the existence of waveguides
|
2011
|
Luis Escauriaza
Luca Fanelli
Luis Vega
|
+
|
On the stability of self-similar solutions of 1D cubic Schrodinger equations
|
2011
|
Susana Gutiérrez
Luis Vega
|
+
|
Existence of maximizers for Sobolev-Strichartz inequalities
|
2011
|
Luca Fanelli
Luis Vega
Nicola Visciglia
|
+
PDF
Chat
|
On the existence of maximizers for a family of restriction theorems
|
2011
|
Luca Fanelli
Luis Vega
Nicola Visciglia
|
+
|
Selfsimilar solutions of the binormal flow and their stability
|
2011
|
Valeria Banica
Luis Vega
|
+
|
Discrete conservation laws and the convergence of long time simulations of the mKdV equation
|
2011
|
C. Gorria
Miguel Ă. Alejo
Luis Vega
|
+
|
Carleman estimates and necessary conditions for the existence of waveguides
|
2011
|
Luis Escauriaza
Luca Fanelli
Luis Vega
|
+
|
Existence of maximizers for Sobolev-Strichartz inequalities
|
2011
|
Luca Fanelli
Luis Vega
Nicola Visciglia
|
+
|
Uniqueness Properties of Solutions to Schrödinger Equations
|
2011
|
Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
|
+
|
On the stability of self-similar solutions of 1D cubic Schrodinger equations
|
2011
|
Susana Gutiérrez
Luis Vega
|
+
|
Scattering for solutions of NLS in the exterior of a 2d star--shaped obstacle
|
2011
|
Fabrice Planchon
Luis Vega
|
+
|
The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation
|
2010
|
Miguel Ă. Alejo
Claudio Muñoz
Luis Vega
|
+
PDF
Chat
|
Uncertainty principle of Morgan type and Schrödinger evolutions
|
2010
|
Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
|
+
PDF
Chat
|
The sharp Hardy uncertainty principle for Schrödinger evolutions
|
2010
|
Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
|
+
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Endpoint Strichartz estimates for the magnetic Schrödinger equation
|
2010
|
Piero DâAncona
Luca Fanelli
Luis Vega
Nicola Visciglia
|
+
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The Hardy Uncertainty Principle Revisited
|
2010
|
Michael Cowling
Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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PDF
Chat
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The Hardy uncertainty principle revisited
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2010
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Michael Cowling
Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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Bilinear virial identities and oscillatory integrals
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2010
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Luis Vega
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The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation
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2010
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Miguel Ă. Alejo
Claudio Muñoz
Luis Vega
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Stability in đżÂč of circular vortex patches
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2009
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Thomas C. Sideris
Luis Vega
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PDF
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Local well-posedness for the modified KdV equation in almost critical $\widehat {H^r_s}$-spaces
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2009
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Axel GrĂŒnrock
Luis Vega
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PDF
Chat
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Weak Dispersive Estimates for Schrödinger Equations with Long Range Potentials
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2009
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Juan Antonio BarcelĂł
Alberto Ruiz
Luis Vega
Mari Cruz Vilela
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Endpoint Strichartz estimates for the magnetic Schrodinger equation
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2009
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Piero DâAncona
Luca Fanelli
Luis Vega
Nicola Visciglia
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Scattering for 1D cubic NLS and singular vortex dynamics
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2009
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Valeria Banica
Luis Vega
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Stability in $L^1$ of circular vortex patches
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2009
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Thomas C. Sideris
Luis Vega
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PDF
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Bilinear virial identities and applications
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2009
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Fabrice Planchon
Luis Vega
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PDF
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Hardy's uncertainty principle, convexity and Schrödinger evolutions
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2008
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Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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PDF
Chat
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Magnetic virial identities, weak dispersion and Strichartz inequalities
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2008
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Luca Fanelli
Luis Vega
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On the Stability of a Singular Vortex Dynamics
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2008
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Valeria Banica
Luis Vega
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On the stability of a singular vortex dynamics
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2008
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Valeria Banica
Luis Vega
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PDF
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Scaling-sharp dispersive estimates for the Kortewegâde Vries group
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2008
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Raphaël CÎte
Luis Vega
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Magnetic virial identities, weak dispersion and Strichartz inequalities
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2008
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Luca Fanelli
Luis Vega
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On the equipartition of energy for the critical NLW
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2008
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Luis Vega
Nicola Visciglia
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PDF
Chat
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Asymptotic Lower Bounds for a Class of Schrödinger Equations
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2008
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Luis Vega
Nicola Visciglia
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Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations
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2008
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Adela Moyua
Luis Vega
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PDF
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Convexity properties of solutions to the free Schrödinger equation with Gaussian decay
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2008
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Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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Weak Dispersive estimates for Schrödinger equations with long range potentials
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2008
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J. A. Bercelo
Alberto Ruiz
Luis Vega
Mari Cruz Vilela
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On the equipartition of energy for critical NLW
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2008
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Luis Vega
Nicola Visciglia
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A uniqueness result for solutions to subcritical NLS
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2008
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Luis Vega
Nicola Visciglia
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A numerical study of the self-similar solutions of the Schroedinger Map
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2008
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Francisco de la Hoz
Carlos J. GarcıÌa-Cervera
Luis Vega
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Hardy's Uncertainty Principle, Convexity and Schrödinger Evolutions
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2008
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Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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Magnetic virial identities, weak dispersion and Strichartz inequalities
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2008
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Luca Fanelli
Luis Vega
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PDF
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Energy Concentration and Sommerfeld Condition for Helmholtz Equation with Variable Index at Infinity
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2007
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BenoıÌt Perthame
Luis Vega
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PDF
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Hardy-type estimates for Dirac operators
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2007
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Jean Dolbeault
Maria J. Esteban
Javier Duoandikoetxea
Luis Vega
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PDF
Chat
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Schrodinger Maps and their Associated Frame Systems
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2007
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Andrea R. Nahmod
Jalal Shatah
Luis Vega
Chongchun Zeng
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On the Dirac delta as initial condition for nonlinear Schrödinger equations
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2007
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Valeria Banica
Luis Vega
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The initial value problem for nonlinear Schrödinger equations
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2007
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Luis Vega
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Some weighted Gagliardo-Nirenberg inequalities and applications
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2007
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Javier Duoandikoetxea
Luis Vega
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Self-similar planar curves related to modified Kortewegâde Vries equation
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2007
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Galina Perelman
Luis Vega
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Bilinear virial identities and applications
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2007
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Fabrice Planchon
Luis Vega
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PDF
Chat
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On the local smoothing for a class of conformally invariant Schrodinger equations
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2007
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Luis Vega
Nicola Visciglia
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Local well-posedness for the modified KdV equation in almost critical ^H^r_s-spaces
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2007
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Axel Gruenrock
Luis Vega
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Convexity properties of solutions to the free Schrödinger equation with Gaussian decay
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2007
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Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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PDF
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Hardy-type estimates for Dirac operators
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2007
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Jean Dolbeault
Javier Duoandikoetxea
MarĂa J. Esteban
Luis Vega
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On uniqueness properties of solutions of the k-generalized KdV equations
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2006
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Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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PDF
Chat
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On Uniqueness Properties of Solutions of Schrödinger Equations
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2006
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Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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PDF
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On the local smoothing for the Schrödinger equation
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2006
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Luis Vega
Nicola Visciglia
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Some dispersive estimates for Schrödinger equations with repulsive potentials
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2006
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Juan Antonio BarcelĂł
Alberto Ruiz
Luis Vega
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+
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Pointwise convergence of solutions to the nonelliptic Schr\"odinger equation
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2006
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Keith M. Rogers
Ana Vargas
Luis Vega
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PDF
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Decay at infinity of caloric functions within characteristic hyperplanes
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2006
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Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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The initial value problem for nonlinear Schrödinger equations
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2006
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Luis Vega
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On uniqueness properties of solutions of the k-generalized KdV equations
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2006
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Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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On the Local Smoothing for the Schroedinger Equation
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2006
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Luis Vega
Nicola Visciglia
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Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials
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2006
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Michael Goldberg
Luis Vega
Nicola Visciglia
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Schrödinger Maps and their associated Frame Systems
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2006
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Andrea R. Nahmod
Jalal Shatah
Luis Vega
Chongchun Zeng
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+
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Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
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2006
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BenoıÌt Perthame
Luis Vega
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+
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The general quasilinear ultrahyperbolic Schrödinger equation
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2005
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Carlos E. Kenig
Gustavo Ponce
C. Rolvung
Luis Vega
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+
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On unique continuation of solutions of Schrödinger equations
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2005
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Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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The General Quasilinear Ultrahyperbolic Schrödinger Equation
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2005
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Carlos E. Kenig
Gustavo Ponce
C. Rolvung
Luis Vega
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Variable coefficient Schrödinger flows for ultrahyperbolic operators
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2005
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Carlos E. Kenig
Gustavo Ponce
C. Rolvung
Luis Vega
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+
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Decay at infinity of caloric functions within characteristic hyperplanes
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2005
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Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
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Variable coefficient Schrödinger flows for ultrahyperbolic operators
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2004
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Carlos E. Kenig
Gustavo Ponce
C. Rolvung
Luis Vega
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+
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A real space method for averaging lemmas
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2004
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PierreâEmmanuel Jabin
Luis Vega
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PDF
Chat
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Self-similar solutions of the localized induction approximation: singularity formation
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2004
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Susana Gutiérrez
Luis Vega
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The Cauchy problem for quasi-linear Schrïżœdinger equations
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2004
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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PDF
Chat
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An analytical proof of Hardy-like inequalities related to the Dirac operator
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2003
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Jean Dolbeault
Maria J. Esteban
Michael Loss
Luis Vega
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On the Interaction of Nearly Parallel Vortex Filaments
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2003
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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PDF
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Energy concentration and Sommerfeld condition for Helmholtz and Liouville equations
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2003
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BenoıÌt Perthame
Luis Vega
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PDF
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Averaging lemmas and the X-ray transform
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2003
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PierreâEmmanuel Jabin
Luis Vega
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On unique continuation for nonlinear Schrödinger equations
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2003
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
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Sommerfeld condition for a Liouville equation and concentration of trajectories
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2003
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BenoıÌt Perthame
Luis Vega
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PDF
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On the unique continuation of solutions to the generalized KdV equation
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2003
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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An analytical proof of Hardy-like inequalities related to the Dirac operator
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2003
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Jean Dolbeault
Maria J. Esteban
Michael Loss
Luis Vega
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On the uniqueness of solutions of higher order nonlinear dispersive equations
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2003
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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Stability of soliton for Kdv equation in $L2$
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2003
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Franck Merle
Luis Vega
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PDF
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On the support of solutions to the generalized KdV equation
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2002
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Luis Vega
Carlos E. Kenig
Gustavo Ponce
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Global wellposedness for 1D non-linear Schrödinger equation for data with an infinite L2 norm
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2001
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Ana Vargas
Luis Vega
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On the ill-posedness of some canonical dispersive equations
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2001
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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A NOTE ON THE NONLINEAR SCHRĂDINGER EQUATION IN WEAK L<sup>p</sup>SPACES
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2001
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Thierry Cazenave
Luis Vega
Mari Cruz Vilela
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PDF
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Carleman inequalities and the heat operator II
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2001
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Luis Escauriaza
Luis Vega
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PDF
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On the Initial Value Problem for the Ishimori System
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2000
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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Global well-posedness for semi-linear wave equations
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2000
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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On the support of solutions to the g-KdV equation
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2000
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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On the concentration of blow up solutions for the generalized KdV equation critical in đżÂČ
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2000
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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MorreyâCampanato Estimates for Helmholtz Equations
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1999
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BenoıÌt Perthame
Luis Vega
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Restriction theorems and maximal operators related to oscillatory integrals in â3
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1999
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Adela Moyua
Ana Vargas
Luis Vega
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Non interpolation in Morrey-Campanato and block spaces
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1999
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Ăscar Blasco
Alberto Ruiz
Luis Vega
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Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations
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1998
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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PDF
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A bilinear approach to the restriction and Kakeya conjectures
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1998
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Terence Tao
Ana Vargas
Luis Vega
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None
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1998
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Franck Merle
Luis Vega
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+
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A bilinear approach to the restriction and Kakeya conjectures
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1998
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Terence Tao
Ana Vargas
Luis Vega
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Remarks on global existence and compactness for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup></mml:math> solutions in the critical nonlinear schrödinger equation in 2D
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1998
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Luis Vega
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Weighted Estimates for the Helmholtz Equation and Some Applications
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1997
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Juan Antonio BarcelĂł
Alberto Ruiz
Luis Vega
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Global Solutions for the KdV Equation with Unbounded Data
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1997
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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A Semilinear Dirac Equation in<i>H<sup>s</sup></i>(<b>R</b><sup>3</sup>) for<i>s</i>> 1
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1997
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Miguel Escobedo
Luis Vega
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On the Ill-Posedness of the IVP for the Generalized Korteweg-De Vries and Nonlinear Schrödinger Equations
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1996
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Björn Birnir
Carlos E. Kenig
Gustavo Ponce
Nils Svanstedt
Luis Vega
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Spherical Means and Weighted Inequalities
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1996
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Javier Duoandikoetxea
Luis Vega
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PDF
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Quadratic forms for the 1-D semilinear Schrödinger equation
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1996
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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PDF
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A bilinear estimate with applications to the KdV equation
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1996
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
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None
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1996
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Adela Moyua
Ana Vargas
Luis Vega
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PDF
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Corrigenda to "Unique continuation for Schrödinger operators" and a remark on intepolation of Morrey spaces
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1995
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Alberto Ruiz
Luis Vega
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On the Zakharov and Zakharov-Schulman Systems
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1995
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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On the IVP for the nonlinear Schrödinger equations
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1995
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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Local regularity of solutions to wave equations with time-dependent potentials
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1994
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Alberto Ruiz
Luis Vega
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PDF
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Higher-Order Nonlinear Dispersive Equations
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1994
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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PDF
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On the Generalized Benjamin-Ono Equation
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1994
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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On the Hierarchy of the Generalized KdV Equations
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1994
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
PDF
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Higher-order nonlinear dispersive equations
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1994
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
PDF
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On the generalized Benjamin-Ono equation
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1994
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
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The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
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1993
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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PDF
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Small solutions to nonlinear Schrödinger equations
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1993
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
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Wellâposedness and scattering results for the generalized kortewegâde vries equation via the contraction principle
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1993
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
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None
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1993
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Alberto Ruiz
Luis Vega
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+
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Restriction Theorems and the Schrödinger Multiplier on the Torus
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1992
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Luis Vega
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PDF
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Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
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1991
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
PDF
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Unique continuation for Schrödinger operators with potential in Morrey spaces
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1991
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Alberto Ruiz
Luis Vega
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+
PDF
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Well-posedness of the initial value problem for the Korteweg-de Vries equation
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1991
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
PDF
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Unique continuation for the solutions of the laplacian plus a drift
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1991
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Alberto Ruiz
Luis Vega
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+
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Nonlinear small data scattering for the generalized Korteweg-de Vries equation
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1990
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Gustavo Ponce
Luis Vega
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+
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The initial value problem for a class of nonlinear dispersive equations
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1990
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
PDF
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On the (generalized) Korteweg-de Vries equation
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1989
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Carlos E. Kenig
Gustavo Ponce
Luis Vega
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+
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Almost Everywhere Summability of Fourier Integrals
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1988
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Anthony Carbery
José L. Rubio de Francia
Luis Vega
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+
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Schrodinger Equations: Pointwise Convergence to the Initial Data
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1988
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Luis Vega
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PDF
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Schrödinger equations: pointwise convergence to the initial data
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1988
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Luis Vega
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El multiplicador de Shrödinger: la función maximal y los operadores de restricción
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1988
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Luis Vega
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