Papers

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Singular solutions for the 1d cubic nonlinear Schrodinger equation and applications [pdf]
arXiv:0906.0884 [ps, pdf, other]
The sharp Hardy Uncertainty Principle for Schödinger evolutions
L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega
arXiv:0905.0062 [ps, pdf, other]
Scattering for 1D cubic NLS and singular vortex dynamics
arXiv:0901.4024 [ps, pdf, other]
Endpoint Strichartz estimates for the magnetic Schrodinger equation
Piero D'Ancona, Luca Fanelli, Luis Vega, Nicola Visciglia
A numerical study of the self-similar solutions of the Schroedinger Map
Francisco de la Hoz, Carlos Garcia-Cervera, Luis Vega
arXiv:0806.0778 [ps, pdf, other]
Magnetic virial identities, weak dispersion and Strichartz inequalities
arXiv:0805.0205 [ps, pdf, other]
On the equipartition of energy for critical NLW
arXiv:0804.2313 [ps, pdf, other]
Scaling-sharp dispersive estimates for the Korteweg-de Vries group
Raphaël Côte (CMLS-EcolePolytechnique), Luis Vega
arXiv:0802.2161 [ps, pdf, other]
Weak Dispersive estimates for Schrödinger equations with long range potentials
J. A. Bercelo, A. Ruiz, L. Vega, M. C. Vilela
arXiv:0802.1996 [ps, pdf, other]
On the stability of a singular vortex dynamics
Valeria Banica (DP), Luis Vega (BILBAO)
arXiv:0802.1608 [ps, pdf, other]
Hardy's Uncertainty Principle, Convexity and Schrödinger Evolutions
L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega
arXiv:0712.4076 [ps, pdf, other]
Bilinear virial identities and applications
arXiv:0712.3648 [ps, pdf, other]
Asymptotic Lower Bounds for a class of Schroedinger Equations
arXiv:0710.2144 [ps, pdf, other]
Convexity properties of solutions to the free Schrödinger equation with Gaussian decay
L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega
arXiv:0706.0819 [ps, pdf, other]
On the Dirac delta as initial condition for nonlinear Schrödinger equations
Valeria Banica (DP), Luis Vega (BILBAO)
arXiv:math/0703037 [ps, pdf, other]
Local well-posedness for the modified KdV equation in almost critical ^H^r_s-spaces
arXiv:math/0612481 [ps, pdf, other]
Schrödinger Maps and their associated Frame Systems
Andrea Nahmod, Jalal Shatah, Luis Vega, Chongchun Zeng
arXiv:math/0609109 [ps, pdf, other]
On the Local Smoothing for a class of conformally invariant Schroedinger equations
arXiv:math/0609108 [ps, pdf, other]
On the Local Smoothing for the Schroedinger Equation
arXiv:math/0607801 [ps, pdf, other]
Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
Benoit Perthame (DMA), Luis Vega (DMA)
arXiv:math/0602257 [ps, pdf, other]
Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials
Michael Goldberg, Luis Vega, Nicola Visciglia
arXiv:math/0601621 [ps, pdf, other]
On uniqueness properties of solutions of the k-generalized KdV equations
Luis Escauriaza, Carlos E. Kenig, Gustavo Ponce, Luis Vega
arXiv:math/0509436 [ps, pdf, other]
Decay at infinity of caloric functions within characteristic hyperplanes
L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega
arXiv:math/0509199 [ps, pdf, other]
On unique continuation of solutions of Schrödinger equations
L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega
arXiv:math/0503206 [ps, pdf, other]
The General Quasilinear Ultrahyperbolic Schrödinger Equation
C. E. Kenig, G. Ponce, C. Rolvung, L. Vega
arXiv:math/0503205 [ps, pdf, other]
Variable coefficient Schrödinger flows for ultrahyperbolic operators
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