A generalized conservation property for the heat semigroup on weighted manifolds
Abstract
In this text we study a generalized conservation property for the heat semigroup generated by a Schrödinger operator with nonnegative potential on a weighted manifold. We establish Khasminskii's criterion for the generalized conservation property and discuss several applications.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2018
- DOI:
- 10.48550/arXiv.1810.07981
- arXiv:
- arXiv:1810.07981
- Bibcode:
- 2018arXiv181007981M
- Keywords:
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- Mathematics - Functional Analysis;
- Mathematics - Analysis of PDEs;
- Mathematics - Probability