Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities

被引：13
|
作者：
Wang, FY [1 ]
机构：
[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
来源：
ANNALS OF PROBABILITY | 2004年 / 32卷 / 1A期
关键词：
gradient estimate; Dirichlet heat semigroup; isoperimetric inequality;
D O I：
10.1214/aop/1078415841
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
By using probabilistic approaches, some uniform gradient estimates are obtained for Dirichlet heat semigroups on a Riemannian manifold with boundary. As an application, lower bound estimates of isoperimetric constants are presented in terms of functional inequalities.
引用
收藏
页码：424 / 440
页数：17
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