On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups (Q1355716)
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scientific article; zbMATH DE number 1014207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups |
scientific article; zbMATH DE number 1014207 |
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On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups (English)
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13 November 1997
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This paper presents some explicit lower bound estimates of the logarithmic Sobolev constant for diffusion processes on a compact Riemannian manifold with negative Ricci curvature. The gradient estimates of heat semigroups are studied by using coupling methods together with a derivative formula.
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heat semigroup
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gradient estimates
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