English

Dispersive estimates for Schrodinger operators in dimensions one and three

Analysis of PDEs 2007-05-23 v2

Abstract

We prove L^1 --> L^\infty estimates for linear Schroedinger equations in dimensions one and three. The potentials are only required to satisfy some mild decay assumptions. No regularity on the potentials is assumed.

Keywords

Cite

@article{arxiv.math/0306108,
  title  = {Dispersive estimates for Schrodinger operators in dimensions one and three},
  author = {M. Goldberg and W. Schlag},
  journal= {arXiv preprint arXiv:math/0306108},
  year   = {2007}
}

Comments

20 pages. Corrected typos and improved explanatory remarks at the end

R2 v1 2026-07-22T16:55:13.756Z