Characterization of sharp global Gaussian estimates for Schr\"odinger heat kernels
Functional Analysis
2016-06-14 v1 Analysis of PDEs
Abstract
We investigate when the fundamental solution of the Schr\"odinger equation posseses sharp Gaussian bounds global in space and time. We give a characterization for and a sufficient condition for general .
Keywords
Cite
@article{arxiv.1606.03745,
title = {Characterization of sharp global Gaussian estimates for Schr\"odinger heat kernels},
author = {Krzysztof Bogdan and Jacek Dziubański and Karol Szczypkowski},
journal= {arXiv preprint arXiv:1606.03745},
year = {2016}
}