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A generalized conservation property for the heat semigroup on weighted manifolds

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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… Click to show full 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.

Keywords: heat semigroup; property heat; conservation property; generalized conservation

Journal Title: Mathematische Annalen
Year Published: 2019

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