L. Vega

activity

19982005

collaborators

4 papers

math.AP2005

Decay at infinity of caloric functions within characteristic hyperplanes

L. Escauriaza, C. E. Kenig, G. Ponce +1

It is shown that a function $u$ satisfying, $∣Δ u + \partial_{t} u ∣ \leq M (∣ u ∣ + ∣\nabla u ∣)$ , $∣ u (x, t) ∣ \leq M e^{M ∣ x ∣^{2}}$ in $R^{n} \times [0, T]$ and $∣ u (x, 0) ∣ \leq C_{k} e^{- k ∣ x ∣^{2}}$ in $R^{n}$ and…

math-ph2003

An analytical proof of Hardy-like inequalities related to the Dirac operator

J. Dolbeault, M. J. Esteban, M. Loss +1

We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct methods. Some of these inequalities have been obtained previously using spectral inf…

math.AP2000

On the support of solutions to the g-KdV equation

Carlos E. Kenig, Gustavo Ponce, Luis Vega

We discuss the question whether solutions of the initial value problem for the generalized KdV equation can have compact support at two different times.

math.CA1998

A bilinear approach to the restriction and Kakeya conjectures

Terence Tao, Ana Vargas, Luis Vega

Bilinear restriction estimates have been appeared in work of Bourgain, Klainerman, and Machedon. In this paper we develop the theory of these estimates (together with the analogues…