Publications (48)
Self-binormal solutions of the Localized Induction Approximation: Singularity formation
Susana Gutierrez, Luis Vega
The forward problem for the electromagnetic Helmholtz equation with critical singularities
Juan Antonio Barceló, Luis Vega, Miren Zubeldia
Universal Shape Replicators via Self-Assembly with Attractive and Repulsive Forces
Cameron Chalk, Erik D. Demaine, Martin L. Demaine +4
On the equipartition of energy for critical NLW
Luis Vega, Nicola Visciglia
On the stability of a singular vortex dynamics
Valeria Banica, Luis Vega
A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions
Thomas Ourmières-Bonafos, Luis Vega
The vortex filament equation as a pseudorandom generator
Francisco de la Hoz, Luis Vega
Scaling-sharp dispersive estimates for the Korteweg-de Vries group
Raphaël Côte, Luis Vega
On the support of solutions to the g-KdV equation
Carlos E. Kenig, Gustavo Ponce, Luis Vega
Self-adjoint extensions of Dirac operators with Coulomb type singularity
Naiara Arrizabalaga, Javier Duoandikoetxea, Luis Vega
Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
Benoit Perthame, Luis Vega
Shell interactions for Dirac operators
Naiara Arrizabalaga, Albert Mas, Luis Vega
A Theorem of Paley-Wiener Type for Schrödinger Evolutions
Carlos E. Kenig, Gustavo Ponce, Luis Vega
Schrödinger Maps and their associated Frame Systems
Andrea Nahmod, Jalal Shatah, Luis Vega +1
Asymmetric emission of the [OIII]$λ$5007 profile in narrow-line Seyfert 1 galaxies
Eduardo O. Schmidt, Gabriel A. Oio, Diego Ferreiro +2
Singularity formation for the 1-D cubic NLS and the Schrödinger map on $\mathbb S^2$
Valeria Banica, Luis Vega
Optimal Staged Self-Assembly of General Shapes
Cameron Chalk, Eric Martinez, Robert Schweller +3
Asymptotic Lower Bounds for a class of Schroedinger Equations
Luis Vega, Nicola Visciglia
Stability in $L^1$ of circular vortex patches
Thomas C. Sideris, Luis Vega
Magnetic virial identities, weak dispersion and Strichartz inequalities
Luca Fanelli, Luis Vega
On uniqueness properties of solutions of the k-generalized KdV equations
Luis Escauriaza, Carlos E. Kenig, Gustavo Ponce +1
A bilinear approach to the restriction and Kakeya conjectures
Terence Tao, Ana Vargas, Luis Vega
On the existence of maximizers for a family of Restriction Theorems
Luca Fanelli, Luis Vega, Nicola Visciglia
Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials
Michael Goldberg, Luis Vega, Nicola Visciglia
On the stability of self-similar solutions of 1D cubic Schrodinger equations
Susana Gutierrez, Luis Vega
Relativistic Hardy inequalities in magnetic fields
Luca Fanelli, Luis Vega, Nicola Visciglia
Selfsimilar solutions of the binormal flow and their stability
Valeria Banica, Luis Vega
Bilinear virial identities and applications
Fabrice Planchon, Luis Vega
Endpoint Strichartz estimates for the magnetic Schrodinger equation
Piero D'Ancona, Luca Fanelli, Luis Vega +1
Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation
Simão Correia, Raphaël Côte, Luis Vega
Uniqueness Properties of Solutions to Schrödinger Equations
Luis Escauriaza, Carlos E. Kenig, Gustavo Ponce +1
Scattering for 1D cubic NLS and singular vortex dynamics
Valeria Banica, Luis Vega
Existence of maximizers for Sobolev-Strichartz inequalities
Luca Fanelli, Luis Vega, Nicola Visciglia
Spectral nuclear properties of NLS1 galaxies
Eduardo O. Schmidt, Diego Ferreiro, Luis Vega +1
On the Local Smoothing for the Schroedinger Equation
Luis Vega, Nicola Visciglia
Scattering for solutions of NLS in the exterior of a 2d star--shaped obstacle
Fabrice Planchon, Luis Vega
Local well-posedness for the modified KdV equation in almost critical ^H^r_s-spaces
Axel Gruenrock, Luis Vega
An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators
Naiara Arrizabalaga, Albert Mas, Luis Vega
Stability of the selfsimilar dynamics of a vortex filament
Valeria Banica, Luis Vega
Uniqueness Properties for Discrete equations and Carleman estimates
Aingeru Fernández-Bertolin, Luis Vega
The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation
Miguel A. Alejo, Claudio Muñoz, Luis Vega
Shell interactions for Dirac operators: on the point spectrum and the confinement
Naiara Arrizabalaga, Albert Mas, Luis Vega
On the Dirac delta as initial condition for nonlinear Schrödinger equations
Valeria Banica, Luis Vega
Carleman estimates and necessary conditions for the existence of waveguides
Luis Escauriaza, Luca Fanelli, Luis Vega
Power Side Channels in Security ICs: Hardware Countermeasures
Lu Zhang, Luis Vega, Michael Taylor
On the regularity of solutions to the $k$-generalized Korteweg-de Vries equation
Carlos E. Kenig, Felipe Linares, Gustavo Ponce +1
A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator
Biagio Cassano, Fabio Pizzichillo, Luis Vega
The initial value problem for the binormal flow with rough data
Valeria Banica, Luis Vega