Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 Schrodinger equation does not satisfy global in time Strichartz estimates.
13 pages. Corrected typo in arXiv abstract. No changes to paper itself

Keywords

Analysis of PDEs, 35Q40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/108937

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602257
 http://arxiv.org/abs/math/0602257
 Intl. Math. Res. Not. 2006 (2006), Article ID 13927, 16pp.

Collections

arXiv