Luis Vega

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All published works
Action Title Year Authors
+ PDF Chat Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation 2024 Valeria Banica
Luis Vega
+ PDF Chat Multifractality and polygonal vortex filaments 2024 Valeria Banica
Daniel Eceizabarrena
Andrea R. Nahmod
Luis Vega
+ PDF Chat Labelled graphs as a Morita equivalence invariant of inverse semigroups 2024 Zachary Duah
Stian Du Preez
David J. Milan
Shreyas Ramamurthy
Luis Vega
+ PDF Chat On the fractional Sch\"odinger equation with variable coefficients 2024 Carlos E. Kenig
Didier Pilod
Gustavo Ponce
Luis Vega
+ Multifractality and intermittency in the limit evolution of polygonal vortex filaments 2024 Valeria Banica
Daniel Eceizabarrena
Andrea R. Nahmod
Luis Vega
+ PDF Chat Steady solutions for the Schrödinger map equation 2024 Claudia García
Luis Vega
+ PDF New Conservation Laws and Energy Cascade for 1d Cubic NLS and the Schrödinger Map 2024 Valeria Banica
Luis Vega
+ Blow-Up for the 1D Cubic NLS 2024 Valeria Banica
Renato LucĂ 
Nikolay Tzvetkov
Luis Vega
+ The Frisch–Parisi Formalism for Fluctuations of the Schrödinger Equation 2024 Sandeep Kumar
Felipe Ponce-Vanegas
Luz Roncal
Luis Vega
+ PDF Reconnection of infinitely thin antiparallel vortices and coherent structures 2023 Sergei Iakunin
Luis Vega
+ Steady solutions for the Schrödinger map equation 2023 Claudia García
Luis Vega
+ New Conservation Laws and Energy Cascade for 1d Cubic NLS and the Schrödinger map 2023 Valeria Banica
Luis Vega
+ Blow-up for the 1D cubic NLS 2023 Valeria Banica
Renato LucĂ 
Nikolay Tzvetkov
Luis Vega
+ Reconnection of infinitely thin antiparallel vortices and coherent structures 2023 S. A. Iakunin
Luis Vega
+ Multifractality and intermittency in the limit evolution of polygonal vortex filaments 2023 Valeria Banica
Daniel Eceizabarrena
Andrea R. Nahmod
Luis Vega
+ Evolution of viscous vortex filaments and desingularization of the Biot-Savart integral 2023 Marco A. Fontelos
Luis Vega
+ PDF Chat Eigenvalue Curves for Generalized MIT Bag Models 2022 Naiara Arrizabalaga
Albert Mas Blesa
TomĂĄs Sanz-Perela
Luis Vega
+ PDF Chat Riemann’s Non-differentiable Function and the Binormal Curvature Flow 2022 Valeria Banica
Luis Vega
+ PDF Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow 2022 Valeria Banica
Luis Vega
+ Static and dynamical, fractional uncertainty principles 2022 Sandeep Kumar
Felipe Ponce-Vanegas
Luis Vega
+ PDF Carleman type inequalities for fractional relativistic operators 2022 Luz Roncal
Diana Stan
Luis Vega
+ PDF On the one dimensional cubic NLS in a critical space 2022 Marco Bravin
Luis Vega
+ PDF Riemann's non-differentiable function and the binormal curvature flow 2022 Valeria Banica
Luis Vega
+ On the one dimensional cubic NLS in a critical space 2021 Marco Bravin
Luis Vega
+ Static and Dynamical, Fractional Uncertainty Principles 2021 Shashi Kumar
Felipe Ponce-Vanegas
Luis Vega
+ On the one dimensional cubic NLS in a critical space 2021 Marco Bravin
Luis Vega
+ Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow 2021 Valeria Banica
Luis Vega
+ Static and Dynamical, Fractional Uncertainty Principles 2021 Sandeep Kumar
Felipe Ponce-Vanegas
Luis Vega
+ Eigenvalue curves for generalized MIT bag models 2021 Naiara Arrizabalaga
Albert Mas Blesa
TomĂĄs Sanz-Perela
Luis Vega
+ PDF Evolution of Polygonal Lines by the Binormal Flow 2020 Valeria Banica
Luis Vega
+ PDF On the improvement of the Hardy inequality due to singular magnetic fields 2020 Luca Fanelli
David KrejčiĆ™Ä±Ìk
Аро ЛаптДĐČ
Luis Vega
+ PDF On the energy of critical solutions of the binormal flow 2020 Valeria Banica
Luis Vega
+ Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation 2020 SimĂŁo Correia
Raphaël CÎte
Luis Vega
+ PDF On the unique continuation of solutions to non-local non-linear dispersive equations 2020 Carlos E. Kenig
Didier Pilod
Gustavo Ponce
Luis Vega
+ On the unique continuation of solutions to non-local non-linear dispersive equations. 2020 Carlos E. Kenig
Didier Pilod
Gustavo Ponce
Luis Vega
+ Bilinear identities involving the<i>k</i>-plane transform and Fourier extension operators 2020 David Beltran
Luis Vega
+ PDF On the Evolution of the Vortex Filament Equation for Regular $M$-Polygons with Nonzero Torsion 2020 Francisco de la Hoz
Sandeep Kumar
Luis Vega
+ Vortex Filament Equation for a regular polygon in the hyperbolic plane 2020 Francisco de la Hoz
Sandeep Kumar
Luis Vega
+ On the unique continuation of solutions to non-local non-linear dispersive equations 2020 Carlos E. Kenig
Didier Pilod
Gustavo Ponce
Luis Vega
+ PDF Self-Similar Dynamics for the Modified Korteweg–de Vries Equation 2019 Simão Correia
Raphaël CÎte
Luis Vega
+ PDF Uniqueness properties of solutions to the Benjamin-Ono equation and related models 2019 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ On the Evolution of the Vortex Filament Equation for regular $M$-polygons with nonzero torsion 2019 Francisco de la Hoz
Sandeep Kumar
Luis Vega
+ Bilinear identities involving the $k$-plane transform and Fourier extension operators. 2019 David Beltran
Luis Vega
+ On the energy of critical solutions of the binormal flow 2019 Valeria Banica
Luis Vega
+ PDF A Hardy-type inequality and some spectral characterizations for the Dirac–Coulomb operator 2019 Biagio Cassano
Fabio Pizzichillo
Luis Vega
+ Self-similar dynamics for the modified Korteweg-de Vries equation 2019 SimĂŁo Correia
Raphaël CÎte
Luis Vega
+ Uniqueness Properties of Solutions to the Benjamin-Ono equation and related models 2019 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF Chat Some Lower Bounds for Solutions of Schrödinger Evolutions 2019 Mikel Agirre
Luis Vega
+ Carleman type inequalities for fractional relativistic operators 2019 Luz Roncal
Diana Stan
Luis Vega
+ On the Evolution of the Vortex Filament Equation for regular $M$-polygons with nonzero torsion 2019 Francisco de la Hoz
Sandeep Kumar
Luis Vega
+ Bilinear identities involving the $k$-plane transform and Fourier extension operators 2019 David BeltrĂĄn
Luis Vega
+ On the energy of critical solutions of the binormal flow 2019 Valeria Banica
Luis Vega
+ Uniqueness Properties of Solutions to the Benjamin-Ono equation and related models 2019 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Self-similar dynamics for the modified Korteweg-de Vries equation 2019 SimĂŁo Correia
Raphaël CÎte
Luis Vega
+ A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator 2018 Biagio Cassano
Fabio Pizzichillo
Luis Vega
+ Some lower bounds for solutions of Schrodinger evolutions. 2018 Mikel Agirre
Luis Vega
+ Absence of eigenvalues of two-dimensional magnetic Schrödinger operators 2018 Luca Fanelli
David KrejčiĆ™Ä±Ìk
Luis Vega
+ On the improvement of the Hardy inequality due to singular magnetic fields 2018 Luca Fanelli
David KrejčiĆ™Ä±Ìk
Аро ЛаптДĐČ
Luis Vega
+ Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation 2018 SimĂŁo Correia
Raphaël CÎte
Luis Vega
+ PDF Erratum: “Self-adjoint extensions of Dirac operators with Coulomb type singularity” [J. Math. Phys. 54, 041504 (2013)] 2018 Naiara Arrizabalaga
Javier Duoandikoetxea
Luis Vega
+ PDF A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and $\delta$-shell interactions 2018 Thomas OurmiĂšres-Bonafos
Luis Vega
+ PDF Chat 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 Spectral stability of Schrödinger operators with subordinated complex potentials 2018 Luca Fanelli
David KrejčiĆ™Ä±Ìk
Luis Vega
+ PDF Singularity formation for the 1-D cubic NLS and the Schrödinger map on &lt;inline-formula&gt;&lt;tex-math id="M1"&gt;\begin{document}$\mathbb S^2$\end{document}&lt;/tex-math&gt;&lt;/inline-formula&gt; 2018 Valeria Banica
Luis Vega
+ A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator 2018 Biagio Cassano
Fabio Pizzichillo
Luis Vega
+ Some lower bounds for solutions of Schrodinger evolutions 2018 Mikel Agirre
Luis Vega
+ On the improvement of the Hardy inequality due to singular magnetic fields 2018 Luca Fanelli
David KrejčiĆ™Ä±Ìk
Аро ЛаптДĐČ
Luis Vega
+ A Hardware-Software Blueprint for Flexible Deep Learning Specialization 2018 Thierry Moreau
Tianqi Chen
Luis Vega
Jared Roesch
Eddie Yan
Lianmin Zheng
Josh Fromm
Ziheng Jiang
LuĂ­s Ceze
Carlos Guestrin
+ Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation 2018 SimĂŁo Correia
Raphaël CÎte
Luis Vega
+ Absence of eigenvalues of two-dimensional magnetic Schroedinger operators 2017 Luca Fanelli
David KrejčiĆ™Ä±Ìk
Luis Vega
+ PDF Optimal Staged Self-Assembly of General Shapes 2017 Cameron Chalk
Eric Martinez
Robert Schweller
Luis Vega
Andrew Winslow
Tim Wylie
+ Uniqueness properties for discrete equations and Carleman estimates 2017 Aingeru FernĂĄndez-Bertolin
Luis Vega
+ Singularity formation for the 1-D cubic NLS and the Schrödinger map on $\mathbb{S}^2$ 2017 Valeria Banica
Luis Vega
+ 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
+ Absence of eigenvalues of two-dimensional magnetic Schroedinger operators 2017 Luca Fanelli
David KrejčiĆ™Ä±Ìk
Luis Vega
+ Singularity formation for the 1-D cubic NLS and the Schrödinger map on $\mathbb S^2$ 2017 Valeria Banica
Luis Vega
+ A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions 2016 Thomas OurmiĂšres-Bonafos
Luis Vega
+ On the regularity of solutions to the 𝑘-generalized Korteweg-de Vries equation 2016 Carlos E. Kenig
Felipe Linares
Gustavo Ponce
Luis Vega
+ On the regularity of solutions to the $k$-generalized Korteweg-de Vries equation 2016 Carlos E. Kenig
Felipe Linares
Gustavo Ponce
Luis Vega
+ 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
+ On the regularity of solutions to the $k$-generalized Korteweg-de Vries equation 2016 Carlos E. Kenig
Felipe Linares
Gustavo Ponce
Luis Vega
+ 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
+ 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
+ The dynamics of vortex filaments with corners 2015 Luis Vega
+ PDF 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
+ Spectral stability of Schroedinger operators with subordinated complex potentials 2015 Luca Fanelli
David KrejčiĆ™Ä±Ìk
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
+ 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
+ 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 Á. 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 𝐿ÂČ-stability of the 𝑁-soliton solution of the Korteweg-de Vries equation 2012 Miguel Á. 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 star–shaped 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 Sobolev–Strichartz 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 Á. 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 Á. 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 Á. 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
+ Endpoint Strichartz estimates for the magnetic Schrödinger equation 2010 Piero D’Ancona
Luca Fanelli
Luis Vega
Nicola Visciglia
+ The Hardy Uncertainty Principle Revisited 2010 Michael Cowling
Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF Chat The Hardy uncertainty principle revisited 2010 Michael Cowling
Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Bilinear virial identities and oscillatory integrals 2010 Luis Vega
+ The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation 2010 Miguel Á. Alejo
Claudio Muñoz
Luis Vega
+ Stability in 𝐿Âč of circular vortex patches 2009 Thomas C. Sideris
Luis Vega
+ PDF Local well-posedness for the modified KdV equation in almost critical $\widehat {H^r_s}$-spaces 2009 Axel GrĂŒnrock
Luis Vega
+ PDF Chat Weak Dispersive Estimates for Schrödinger Equations with Long Range Potentials 2009 Juan Antonio Barceló
Alberto Ruiz
Luis Vega
Mari Cruz Vilela
+ Endpoint Strichartz estimates for the magnetic Schrodinger equation 2009 Piero D’Ancona
Luca Fanelli
Luis Vega
Nicola Visciglia
+ Scattering for 1D cubic NLS and singular vortex dynamics 2009 Valeria Banica
Luis Vega
+ Stability in $L^1$ of circular vortex patches 2009 Thomas C. Sideris
Luis Vega
+ PDF Bilinear virial identities and applications 2009 Fabrice Planchon
Luis Vega
+ PDF Hardy's uncertainty principle, convexity and Schrödinger evolutions 2008 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF Chat Magnetic virial identities, weak dispersion and Strichartz inequalities 2008 Luca Fanelli
Luis Vega
+ On the Stability of a Singular Vortex Dynamics 2008 Valeria Banica
Luis Vega
+ On the stability of a singular vortex dynamics 2008 Valeria Banica
Luis Vega
+ PDF Scaling-sharp dispersive estimates for the Korteweg–de Vries group 2008 RaphaĂ«l CĂŽte
Luis Vega
+ Magnetic virial identities, weak dispersion and Strichartz inequalities 2008 Luca Fanelli
Luis Vega
+ On the equipartition of energy for the critical NLW 2008 Luis Vega
Nicola Visciglia
+ PDF Chat Asymptotic Lower Bounds for a Class of Schrödinger Equations 2008 Luis Vega
Nicola Visciglia
+ Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations 2008 Adela Moyua
Luis Vega
+ PDF Convexity properties of solutions to the free Schrödinger equation with Gaussian decay 2008 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Weak Dispersive estimates for Schrödinger equations with long range potentials 2008 J. A. Bercelo
Alberto Ruiz
Luis Vega
Mari Cruz Vilela
+ On the equipartition of energy for critical NLW 2008 Luis Vega
Nicola Visciglia
+ A uniqueness result for solutions to subcritical NLS 2008 Luis Vega
Nicola Visciglia
+ A numerical study of the self-similar solutions of the Schroedinger Map 2008 Francisco de la Hoz
Carlos J. Garcı́a-Cervera
Luis Vega
+ Hardy's Uncertainty Principle, Convexity and Schrödinger Evolutions 2008 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Magnetic virial identities, weak dispersion and Strichartz inequalities 2008 Luca Fanelli
Luis Vega
+ PDF Energy Concentration and Sommerfeld Condition for Helmholtz Equation with Variable Index at Infinity 2007 Benoı̂t Perthame
Luis Vega
+ PDF Hardy-type estimates for Dirac operators 2007 Jean Dolbeault
Maria J. Esteban
Javier Duoandikoetxea
Luis Vega
+ PDF Chat Schrodinger Maps and their Associated Frame Systems 2007 Andrea R. Nahmod
Jalal Shatah
Luis Vega
Chongchun Zeng
+ On the Dirac delta as initial condition for nonlinear Schrödinger equations 2007 Valeria Banica
Luis Vega
+ The initial value problem for nonlinear Schrödinger equations 2007 Luis Vega
+ Some weighted Gagliardo-Nirenberg inequalities and applications 2007 Javier Duoandikoetxea
Luis Vega
+ Self-similar planar curves related to modified Korteweg–de Vries equation 2007 Galina Perelman
Luis Vega
+ Bilinear virial identities and applications 2007 Fabrice Planchon
Luis Vega
+ PDF Chat On the local smoothing for a class of conformally invariant Schrodinger equations 2007 Luis Vega
Nicola Visciglia
+ Local well-posedness for the modified KdV equation in almost critical ^H^r_s-spaces 2007 Axel Gruenrock
Luis Vega
+ Convexity properties of solutions to the free Schrödinger equation with Gaussian decay 2007 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF Hardy-type estimates for Dirac operators 2007 Jean Dolbeault
Javier Duoandikoetxea
MarĂ­a J. Esteban
Luis Vega
+ On uniqueness properties of solutions of the k-generalized KdV equations 2006 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF Chat On Uniqueness Properties of Solutions of Schrödinger Equations 2006 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF On the local smoothing for the Schrödinger equation 2006 Luis Vega
Nicola Visciglia
+ Some dispersive estimates for Schrödinger equations with repulsive potentials 2006 Juan Antonio Barceló
Alberto Ruiz
Luis Vega
+ Pointwise convergence of solutions to the nonelliptic Schr\"odinger equation 2006 Keith M. Rogers
Ana Vargas
Luis Vega
+ PDF Decay at infinity of caloric functions within characteristic hyperplanes 2006 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ The initial value problem for nonlinear Schrödinger equations 2006 Luis Vega
+ On uniqueness properties of solutions of the k-generalized KdV equations 2006 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ On the Local Smoothing for the Schroedinger Equation 2006 Luis Vega
Nicola Visciglia
+ Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials 2006 Michael Goldberg
Luis Vega
Nicola Visciglia
+ Schrödinger Maps and their associated Frame Systems 2006 Andrea R. Nahmod
Jalal Shatah
Luis Vega
Chongchun Zeng
+ Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity 2006 Benoı̂t Perthame
Luis Vega
+ The general quasilinear ultrahyperbolic Schrödinger equation 2005 Carlos E. Kenig
Gustavo Ponce
C. Rolvung
Luis Vega
+ On unique continuation of solutions of Schrödinger equations 2005 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ The General Quasilinear Ultrahyperbolic Schrödinger Equation 2005 Carlos E. Kenig
Gustavo Ponce
C. Rolvung
Luis Vega
+ Variable coefficient Schrödinger flows for ultrahyperbolic operators 2005 Carlos E. Kenig
Gustavo Ponce
C. Rolvung
Luis Vega
+ Decay at infinity of caloric functions within characteristic hyperplanes 2005 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Variable coefficient Schrödinger flows for ultrahyperbolic operators 2004 Carlos E. Kenig
Gustavo Ponce
C. Rolvung
Luis Vega
+ A real space method for averaging lemmas 2004 Pierre‐Emmanuel Jabin
Luis Vega
+ PDF Chat Self-similar solutions of the localized induction approximation: singularity formation 2004 Susana Gutiérrez
Luis Vega
+ The Cauchy problem for quasi-linear Schrïżœdinger equations 2004 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF Chat An analytical proof of Hardy-like inequalities related to the Dirac operator 2003 Jean Dolbeault
Maria J. Esteban
Michael Loss
Luis Vega
+ On the Interaction of Nearly Parallel Vortex Filaments 2003 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF Energy concentration and Sommerfeld condition for Helmholtz and Liouville equations 2003 Benoı̂t Perthame
Luis Vega
+ PDF Averaging lemmas and the X-ray transform 2003 Pierre‐Emmanuel Jabin
Luis Vega
+ On unique continuation for nonlinear Schrödinger equations 2003 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Sommerfeld condition for a Liouville equation and concentration of trajectories 2003 Benoı̂t Perthame
Luis Vega
+ PDF On the unique continuation of solutions to the generalized KdV equation 2003 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ An analytical proof of Hardy-like inequalities related to the Dirac operator 2003 Jean Dolbeault
Maria J. Esteban
Michael Loss
Luis Vega
+ On the uniqueness of solutions of higher order nonlinear dispersive equations 2003 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Stability of soliton for Kdv equation in $L2$ 2003 Franck Merle
Luis Vega
+ PDF On the support of solutions to the generalized KdV equation 2002 Luis Vega
Carlos E. Kenig
Gustavo Ponce
+ Global wellposedness for 1D non-linear Schrödinger equation for data with an infinite L2 norm 2001 Ana Vargas
Luis Vega
+ On the ill-posedness of some canonical dispersive equations 2001 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ A NOTE ON THE NONLINEAR SCHRÖDINGER EQUATION IN WEAK L<sup>p</sup>SPACES 2001 Thierry Cazenave
Luis Vega
Mari Cruz Vilela
+ PDF Carleman inequalities and the heat operator II 2001 Luis Escauriaza
Luis Vega
+ PDF On the Initial Value Problem for the Ishimori System 2000 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Global well-posedness for semi-linear wave equations 2000 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ On the support of solutions to the g-KdV equation 2000 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ On the concentration of blow up solutions for the generalized KdV equation critical in 𝐿ÂČ 2000 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Morrey–Campanato Estimates for Helmholtz Equations 1999 Benoı̂t Perthame
Luis Vega
+ Restriction theorems and maximal operators related to oscillatory integrals in ℝ3 1999 Adela Moyua
Ana Vargas
Luis Vega
+ Non interpolation in Morrey-Campanato and block spaces 1999 Óscar Blasco
Alberto Ruiz
Luis Vega
+ Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations 1998 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF A bilinear approach to the restriction and Kakeya conjectures 1998 Terence Tao
Ana Vargas
Luis Vega
+ None 1998 Franck Merle
Luis Vega
+ A bilinear approach to the restriction and Kakeya conjectures 1998 Terence Tao
Ana Vargas
Luis Vega
+ 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 1998 Luis Vega
+ Weighted Estimates for the Helmholtz Equation and Some Applications 1997 Juan Antonio BarcelĂł
Alberto Ruiz
Luis Vega
+ Global Solutions for the KdV Equation with Unbounded Data 1997 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ A Semilinear Dirac Equation in<i>H<sup>s</sup></i>(<b>R</b><sup>3</sup>) for<i>s</i>&gt; 1 1997 Miguel Escobedo
Luis Vega
+ On the Ill-Posedness of the IVP for the Generalized Korteweg-De Vries and Nonlinear Schrödinger Equations 1996 Björn Birnir
Carlos E. Kenig
Gustavo Ponce
Nils Svanstedt
Luis Vega
+ Spherical Means and Weighted Inequalities 1996 Javier Duoandikoetxea
Luis Vega
+ PDF Quadratic forms for the 1-D semilinear Schrödinger equation 1996 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF A bilinear estimate with applications to the KdV equation 1996 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ None 1996 Adela Moyua
Ana Vargas
Luis Vega
+ PDF Corrigenda to "Unique continuation for Schrödinger operators" and a remark on intepolation of Morrey spaces 1995 Alberto Ruiz
Luis Vega
+ On the Zakharov and Zakharov-Schulman Systems 1995 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ On the IVP for the nonlinear Schrödinger equations 1995 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Local regularity of solutions to wave equations with time-dependent potentials 1994 Alberto Ruiz
Luis Vega
+ PDF Higher-Order Nonlinear Dispersive Equations 1994 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF On the Generalized Benjamin-Ono Equation 1994 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ On the Hierarchy of the Generalized KdV Equations 1994 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF Higher-order nonlinear dispersive equations 1994 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF On the generalized Benjamin-Ono equation 1994 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices 1993 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF Small solutions to nonlinear Schrödinger equations 1993 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle 1993 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ None 1993 Alberto Ruiz
Luis Vega
+ Restriction Theorems and the Schrödinger Multiplier on the Torus 1992 Luis Vega
+ PDF Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation 1991 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF Unique continuation for Schrödinger operators with potential in Morrey spaces 1991 Alberto Ruiz
Luis Vega
+ PDF Well-posedness of the initial value problem for the Korteweg-de Vries equation 1991 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF Unique continuation for the solutions of the laplacian plus a drift 1991 Alberto Ruiz
Luis Vega
+ Nonlinear small data scattering for the generalized Korteweg-de Vries equation 1990 Gustavo Ponce
Luis Vega
+ The initial value problem for a class of nonlinear dispersive equations 1990 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ PDF On the (generalized) Korteweg-de Vries equation 1989 Carlos E. Kenig
Gustavo Ponce
Luis Vega
+ Almost Everywhere Summability of Fourier Integrals 1988 Anthony Carbery
José L. Rubio de Francia
Luis Vega
+ Schrodinger Equations: Pointwise Convergence to the Initial Data 1988 Luis Vega
+ PDF Schrödinger equations: pointwise convergence to the initial data 1988 Luis Vega
+ El multiplicador de Shrödinger: la función maximal y los operadores de restricción 1988 Luis Vega
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations 1977 Robert S. Strichartz
26
+ Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle 1993 Carlos E. Kenig
Gustavo Ponce
Luis Vega
26
+ On the ill-posedness of some canonical dispersive equations 2001 Carlos E. Kenig
Gustavo Ponce
Luis Vega
24
+ PDF Local smoothing properties of dispersive equations 1988 Peter Constantin
Jean–Claude Saut
22
+ Regularity of solutions to the Schrödinger equation 1987 Per Sjölin
22
+ PDF On the motion of a curve by its binormal curvature 2015 Robert L. Jerrard
Didier Smets
18
+ PDF Schrödinger equations: pointwise convergence to the initial data 1988 Luis Vega
18
+ On the Cauchy Problem for the Generalized Korteweg-de Vries Equation 2003 Luc Molinet
Francis Ribaud
16
+ Asymptotic properties of solutions of differential equations with simple characteristics 1976 Shmuel Agmon
Lars Hörmander
16
+ GENERALIZED SOLUTIONS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION 1984 S. N. Kruzhkov
Andrei V. Faminskii
15
+ PDF Scattering for 1D cubic NLS and singular vortex dynamics 2011 Valeria Banica
Luis Vega
15
+ On the Stability of a Singular Vortex Dynamics 2008 Valeria Banica
Luis Vega
15
+ Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals 2002 Elias M. Stein
Timothy S Murphy
14
+ PDF Inequalities for strongly singular convolution operators 1970 Charles Fefferman
14
+ Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations 1993 Jean Bourgain
14
+ Carleman Type Estimates in an Anisotropic Case and Applications 1993 Victor Isakov
13
+ Unique continuation for some evolution equations 1987 Jean–Claude Saut
Bruno Scheurer
13
+ PDF A restriction theorem for the Fourier transform 1975 Peter A. Tomas
13
+ Global wellposedness for 1D non-linear Schrödinger equation for data with an infinite L2 norm 2001 Ana Vargas
Luis Vega
12
+ None 2005 Axel GrĂŒnrock
12
+ PDF Small solutions to nonlinear Schrödinger equations 1993 Carlos E. Kenig
Gustavo Ponce
Luis Vega
12
+ The cauchy problem for the critical nonlinear Schrödinger equation in Hs 1990 Thierry Cazenave
Fred B. Weissler
12
+ Uncertainty principles on certain Lie groups 1995 Alladi Sitaram
M. Sundari
Sundaram Thangavelu
12
+ PDF Chat On Uniqueness Properties of Solutions of Schrödinger Equations 2006 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
12
+ Morrey–Campanato Estimates for Helmholtz Equations 1999 Benoı̂t Perthame
Luis Vega
12
+ PDF Chat Stability of the Self-similar Dynamics of a Vortex Filament 2013 Valeria Banica
Luis Vega
11
+ PDF Endpoint Strichartz estimates 1998 M. Keel
Terence Tao
11
+ PDF A strong type (2,2) estimate for a maximal operator associated to the Schrödinger equation 1983 Carlos E. Kenig
Alberto Ruiz
11
+ PDF Remarks on nonlinear Schrödinger equations in one space dimension 1994 Nakao Hayashi
Tohru Ozawa
11
+ PDF Hardy's uncertainty principle, convexity and Schrödinger evolutions 2008 Luis Escauriaza
Carlos E. Kenig
Gustavo Ponce
Luis Vega
10
+ PDF Local Smoothing Properties of Dispersive Equations 1988 P. Constantin
Jean-Claude Saut
10
+ Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations 1993 Jean Bourgain
10
+ The initial-value problem for the Korteweg-de Vries equation 1975 Jerry L. Bona
R. Jeffrey Smith
10
+ PDF The spectrum of singularities of Riemann's function 1996 Stéphane Jaffard
10
+ Commutator estimates and the euler and navier-stokes equations 1988 Tosio Kato
Gustavo Ponce
10
+ PDF Talbot effect for the cubic non-linear Schröedinger equation on the torus 2013 M. Burak Erdoğan
Nikolaos Tzirakis
10
+ PDF Chat Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations 2003 Michael Christ
J. Colliander
T. Tao
10
+ PDF A uniqueness theorem of Beurling for Fourier transform pairs 1991 Lars Hörmander
9
+ Uniqueness of Solutions for the Generalized Korteweg–de Vries Equation 1989 J. Ginibre
Yoshio Tsutsumi
9
+ PDF Lp Carleman inequalities and uniqueness of solutions of nonlinear Schrödinger equations 2004 Alexandru D. Ionescu
Carlos E. Kenig
9
+ PDF Perturbation Theory for Linear Operators 1995 Tosio Kato
9
+ Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations 1998 Carlos E. Kenig
Gustavo Ponce
Luis Vega
9
+ On unique continuation for nonlinear Schrödinger equations 2003 Carlos E. Kenig
Gustavo Ponce
Luis Vega
9
+ PDF Partial Differential Equations 1988 Shiing-Shen Chern
9
+ On the Dirac delta as initial condition for nonlinear Schrödinger equations 2007 Valeria Banica
Luis Vega
9
+ Time decay for the nonlinear Klein-Gordon equation 1968 Cathleen S. Morawetz
9
+ PDF Limiting absorption method and absolute continuity for the Schrödinger operator 1972 Teruo Ikebe
Yoshimi Saitƍ
9
+ On localization in the continuous Anderson-Bernoulli model in higher dimension 2005 Jean Bourgain
Carlos E. Kenig
9
+ PDF Chat 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
9
+ Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators 1987 Carlos E. Kenig
Alberto Ruiz
Christopher D. Sogge
8