English

Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials

Analysis of PDEs 2007-05-23 v1

Abstract

We prove L^1 --> L^\infty estimates for the linear Schroedinger equation in three dimensions. The potential is assumed to belong to certain L^p spaces, but no pointwise decay estimates and no additional regularity is required.

Keywords

Cite

@article{arxiv.math/0407331,
  title  = {Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials},
  author = {Michael Goldberg},
  journal= {arXiv preprint arXiv:math/0407331},
  year   = {2007}
}

Comments

17 pages