Dispersive estimates for Schroedinger operators in dimension two
Analysis of PDEs
2009-11-10 v2 Mathematical Physics
math.MP
Abstract
We prove dispersive estimates for linear Schroedinger equations in two space dimensions. The potential is assumed to be real-valued with some polynomial decay (faster than a negative third power), and zero energy is assumed to be a regular point for the perturbed resolvent.
Cite
@article{arxiv.math/0405437,
title = {Dispersive estimates for Schroedinger operators in dimension two},
author = {Wilhelm Schlag},
journal= {arXiv preprint arXiv:math/0405437},
year = {2009}
}
Comments
Several misprints and obscurities have been corrected. In some places, more explanations are provided