J. Barceló

activity

20062011

most citedA priori estimates for the Helmholtz equation with electromagnetic potentials in exterior domains

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2011★ 2 cited

A priori estimates for the Helmholtz equation with electromagnetic potentials in exterior domains

Juan Antonio Barceló, Luca Fanelli, Alberto Ruiz +1

We study the Helmholtz equation with electromagnetic-type perturbations, in the exterior of a domain, in dimension $n \geq 3$ . We prove, by multiplier techniques in the sense of Mora…

math.AP2008★ 1 cited

Weak Dispersive estimates for Schrödinger equations with long range potentials

J. A. Bercelo, A. Ruiz, L. Vega +1

We prove some local smoothing estimates for the Schrödinger initial value problem with data in $L^{2} (R^{d})$ , $d \geq 2$ and a general class of potentials. In the repulsive s…

math.AP2006

Some special solutions of the Schroedinger equation

J. A. Barcelo, J. M. Bennett, A. Carbery +2

We describe a certain "self-similar" family of solutions to the free Schroedinger equation in all dimensions, and derive some consequences of such solutions for two specific proble…