45 citations · 71 across the 16 of their papers we have counts for
4 papers · 1 filter
On the Local Smoothing for the Schroedinger Equation
Luis Vega, Nicola Visciglia
We prove a family of identities that involve the solutions to the free Schreodinger equation. As a consequence of these identities we shall deduce a lower bound for the local smoot…
Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
Benoit Perthame, Luis Vega
We consider the Helmholtz equation with a variable index of refraction , which is not necessarily constant at infinity but can have an angular dependency like $n(x)\to n\_\in…
Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials
Michael Goldberg, Luis Vega, Nicola Visciglia
In each dimension n >= 2, we construct a class of nonnegative potentials that are homogeneous of order -sigma, chosen from the range 0 < sigma < 2, and for which the perturbed Schr…
On uniqueness properties of solutions of the k-generalized KdV equations
Luis Escauriaza, Carlos E. Kenig, Gustavo Ponce +1
In this paper we study uniqueness properties of solutions of the k-generalized Korteweg-de Vries equation. Our goal is to obtain sufficient conditions on the behavior of the differ…