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arxiv: 1810.07981 · v1 · pith:LEOKQE6Rnew · submitted 2018-10-18 · 🧮 math.FA · math.AP· math.PR

A generalized conservation property for the heat semigroup on weighted manifolds

classification 🧮 math.FA math.APmath.PR
keywords conservationgeneralizedpropertyheatsemigroupweightedapplicationscriterion
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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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