A generalized conservation property for the heat semigroup on weighted manifolds
Functional Analysis
2018-10-19 v1 Analysis of PDEs
Probability
Abstract
In this text we study a generalized conservation property for the heat semigroup generated by a Schr\"odinger operator with nonnegative potential on a weighted manifold. We establish Khasminskii's criterion for the generalized conservation property and discuss several applications.
Keywords
Cite
@article{arxiv.1810.07981,
title = {A generalized conservation property for the heat semigroup on weighted manifolds},
author = {Jun Masamune and Marcel Schmidt},
journal= {arXiv preprint arXiv:1810.07981},
year = {2018}
}