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arXiv · 1810.07981

A generalized conservation property for the heat semigroup on weighted manifolds

Jun Masamune·Marcel Schmidt
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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.

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Jun Masamune, Marcel Schmidt. 2018-10-18. A generalized conservation property for the heat semigroup on weighted manifolds. https://arxiv.org/abs/1810.07981

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