Recent Papers
Check out more papers at arXiv.org
1. arXiv:1110.4873 [pdf, ps, other]
Uniqueness Properties of Solutions to Schrödinger Equations
Luis Escauriaza, Carlos E. Kenig, Gustavo Ponce, Luis Vega
Subjects: Analysis of PDEs (math.AP)
2. arXiv:1109.6028 [pdf, ps, other]
Discrete conservation laws and the convergence of long time simulations of the mKdV equation
Carlos Gorria, Miguel A. Alejo, Luis Vega
Comments: 22 pages, 7 figures
Subjects: Numerical Analysis (math.NA); Exactly Solvable and Integrable Systems (nlin.SI)
3. arXiv:1105.3230 [pdf, ps, other]
Carleman estimates and necessary conditions for the existence of waveguides
Luis Escauriaza, Luca Fanelli, Luis Vega
Comments: 12 pages
Subjects: Analysis of PDEs (math.AP)
4. arXiv:1103.5403 [pdf, ps, other]
On the stability of self-similar solutions of 1D cubic Schrodinger equations
Comments: 38 pages, 8 figures
Subjects: Analysis of PDEs (math.AP)
5. arXiv:1103.4925 [pdf, ps, other]
Selfsimilar solutions of the binormal flow and their stability
Comments: 36 pages, survey to appear in Panoramas et Synth\`eses
Subjects: Analysis of PDEs (math.AP)
6. arXiv:1103.4751 [pdf, ps, other]
Existence of maximizers for Sobolev-Strichartz inequalities
Luca Fanelli, Luis Vega, Nicola Visciglia
Comments: 10 pages
Subjects: Analysis of PDEs (math.AP)
7. arXiv:1103.2172 [pdf, other]
Cooperative Strategies for Interference-Limited Wireless Networks
Andres Altieri, Leonardo Rey Vega, Cecilia G. Galarza, Pablo Piantanida
Comments: 5 pages and 4 figures. Submitted to ISIT 2011
Subjects: Information Theory (cs.IT)
8. arXiv:1012.5290 [pdf, ps, other]
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
Comments: 19 pages, final version incorporating referee's comments. To appear in TAMS
Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)
9. arXiv:1010.1906 [pdf, ps, other]
Unique Continuation for Schrödinger Evolutions, with applications to profiles of concentration and traveling waves
L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega
Comments: 23 pages
Subjects: Analysis of PDEs (math.AP)
10. arXiv:1007.2063 [pdf, ps, other]
On the existence of maximizers for a family of Restriction Theorems
Luca Fanelli, Luis Vega, Nicola Visciglia
Comments: 6 pages
Subjects: Analysis of PDEs (math.AP)
11. arXiv:1005.1543 [pdf, ps, other]
The Hardy Uncertainty Principle Revisited
M. Cowling, L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega
Subjects: Analysis of PDEs (math.AP)
12. arXiv:0909.4111 [pdf, ps, other]
Stability in $L^1$ of circular vortex patches
Subjects: Analysis of PDEs (math.AP)
13. arXiv:0909.3287 [pdf, ps, other]
Uncertainty Principle of Morgan type and Schrödinger Evolutions
L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega
Subjects: Analysis of PDEs (math.AP)
14. arXiv:0906.0884 [pdf, ps, other]
The sharp Hardy Uncertainty Principle for Schödinger evolutions
L. Escauriaza, C.E. Kenig, G. Ponce, L. Vega
Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)
15. arXiv:0905.0062 [pdf, ps, other]
Scattering for 1D cubic NLS and singular vortex dynamics
Comments: 42 pages, revised version, to appear in J. Eur. Math. Soc
Subjects: Analysis of PDEs (math.AP)
