English

The Kato smoothing effect for Schr{\"o}dinger equations with unbounded potentials in exterior domains

Analysis of PDEs 2007-05-23 v1

Abstract

In this paper we prove the smoothing effect for solutions of Schr{\"o}dinger equations with variable coefficients and in a non trapping exterior domain. We allow quadratic potentials at infinity.

Keywords

Cite

@article{arxiv.math/0611314,
  title  = {The Kato smoothing effect for Schr{\"o}dinger equations with unbounded potentials in exterior domains},
  author = {Luc Robbiano and Claude Zuily},
  journal= {arXiv preprint arXiv:math/0611314},
  year   = {2007}
}