A Singular Critical Potential For The Schrodinger operator
Analysis of PDEs
2007-05-23 v1
Abstract
We construct a potential on , smooth away from one pole, and a sequence of quasi-modes for the operator , which concentrate on this pole. No smoothing effect, Strichartz estimates nor dispersive inequalities hold for the corresponding Schrodinger equation.
Cite
@article{arxiv.math/0310309,
title = {A Singular Critical Potential For The Schrodinger operator},
author = {Thomas Duyckaerts},
journal= {arXiv preprint arXiv:math/0310309},
year = {2007}
}