Sharp and plain estimates for Schr\"odinger perturbation of Gaussian kernel
Analysis of PDEs
2020-12-15 v1 Functional Analysis
Abstract
We investigate whether a fundamental solution of the Schr\"odinger equation has local in time sharp Gaussian estimates. We compare that class with the class of for which local in time plain Gaussian estimates hold. We concentrate on that have fixed sign and we present certain conclusions for in the Kato class.
Keywords
Cite
@article{arxiv.2012.06817,
title = {Sharp and plain estimates for Schr\"odinger perturbation of Gaussian kernel},
author = {Tomasz Jakubowski and Karol Szczypkowski},
journal= {arXiv preprint arXiv:2012.06817},
year = {2020}
}