11 jan 2006
when: Wednesday, January 11, at 4 pm
where: Dipartimento di Matematica, sala delle riunioni
speaker: N.Tzvetkov (Université de Lille)
title: Strichartz estimates for long range perturbations
abstract: We shall discuss on Strichartz estimates for the Schroedinger equation associated to long range perturbations of the Laplace operator on the Euclidian space. Thanks to the Isozaki-Kitada construction, we always get the full range of Strichartz estimates outside a large ball. In compact sets the analysis is based on the classical WKB method and we get estimates with losses. If in addition the perturbation is non trapping, we get the full set of estimates on the whole space. This is a joint work with Jean-Marc Bouclet (University of Lille).