Heat kernel bounds, conservation of probability and the Feller property (Q1333790)
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scientific article; zbMATH DE number 640333
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Heat kernel bounds, conservation of probability and the Feller property |
scientific article; zbMATH DE number 640333 |
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Heat kernel bounds, conservation of probability and the Feller property (English)
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19 September 1994
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The author studies conditions under which the heat semigroup of a weighted Laplace-Beltrami operator on a Riemannian manifold conserves probability and has the Feller property, respectively. He obtains a pointwise Gaussian upper bound on heat kernels. The results can be extended for instance to Lipschitz manifolds.
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heat kernel
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Laplacian
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Riemannian manifold
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Feller property
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