Dispersive estimates for Schrodinger operators in dimensions one and three

Preprint

19 March 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0306108

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

SCHROEDINGER EQUATIONS
SCHRODINGER OPERATORS
DISPERSIVE ESTIMATES
LINEAR SCHROEDINGER
DECAY ASSUMPTIONS
INFTY ESTIMATES
NO REGULARITY
MILD DECAY
REGULARITY

All Related Versions

Version 1, 2003-06-05, ArXiv
Version 2, 2004-03-19, ArXiv
Published version: Communications in Mathematical Physics, 251 (1), 157.

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