2 citations · 3 across the 4 of their papers we have counts for
4 papers
A priori estimates of Mizohata-Takeuchi type for the Navier-Lamé operator
Juan Antonio Barceló, Alberto Ruiz, Mari Cruz Vilela +1
The Mizohata-Takeuchi conjecture for the resolvent of the Navier-Lamé equation is a weighted estimate with weights in the so-called Mizohata-Takeuchi class for this operator when o…
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 . We prove, by multiplier techniques in the sense of Mora…
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 , and a general class of potentials. In the repulsive s…
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…