Singularities for solutions to time dependent Schr\"odingier equations with sub-quadratic potential
Analysis of PDEs
2014-08-11 v2 Mathematical Physics
math.MP
Abstract
In this article, we determine the wave front sets of solutions to time dependent Schr\"odinger equations with a sub-quadratic potential by using the representation of the Schr\"dingier evolution operator via wave packet transform (short time Fourier transform).
Cite
@article{arxiv.1408.1478,
title = {Singularities for solutions to time dependent Schr\"odingier equations with sub-quadratic potential},
author = {Keiichi Kato and Shingo Ito},
journal= {arXiv preprint arXiv:1408.1478},
year = {2014}
}
Comments
12 pages