On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups

被引：0

作者：

Feng-Yu Wang

机构：

[1] Department of Mathematics,

[2] Beijing Normal University,undefined

[3] Beijing 100875,undefined

[4] P.R. China (wangfy@maths.warwick.ac.uk),undefined

来源：

Probability Theory and Related Fields | 1997年 / 108卷

关键词：

Mathematics Subject Classification (1991): 35S15; 60J60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper presents some explicit lower bound estimates of logarithmic Sobolev constant for diffusion processes on a compact Riemannian manifold with negative Ricci curvature. Let Ric≧−K for some K>0 and d, D be respectively the dimension and the diameter of the manifold. If the boundary of the manifold is either empty or convex, then the logarithmic Sobolev constant for Brownian motion is not less than

引用

页码：87 / 101

页数：14

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