A limiting absorption principle for the Schrodinger equation with L^p potentials
Analysis of PDEs
2007-05-23 v3 Mathematical Physics
math.MP
Abstract
We prove a limiting absorption principle for linear Schroedinger equations in Lebesgue spaces. In particular, we do not require any polynomially decaying weights as in the classical Agmon estimate. The methods used are close to the Stein-Tomas theorem in harmonic analysis.
Keywords
Cite
@article{arxiv.math/0312319,
title = {A limiting absorption principle for the Schrodinger equation with L^p potentials},
author = {Michael Goldberg and Wilhelm Schlag},
journal= {arXiv preprint arXiv:math/0312319},
year = {2007}
}
Comments
Removed section on dynamical results, and the conjectures at the end. These will be discussed in greater generality in a forthcoming paper by A. Ionescu and the second author