Heat semigroup on a complete Riemannian manifold (Q909324): Difference between revisions
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Latest revision as of 12:58, 10 July 2025
scientific article; zbMATH DE number 4137073
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Heat semigroup on a complete Riemannian manifold |
scientific article; zbMATH DE number 4137073 |
Statements
Heat semigroup on a complete Riemannian manifold (English)
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1989
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Let M be a complete Riemannian manifold and p(t,x,y) the minimal heat kernel on M. Let \(P_ t\) be the associated semigroup. The stochastic completeness \((\int_{M}p(t,x,y)dy=1\), \(t>0)\) and a \(C_ 0\)-diffusion property \((P_ tf\) vanishes at infinity for all \(t>0\) whenever f does) are investigated.
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Brownian motion
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Riemannian manifold
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\(C_ 0\)-diffusion
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