LOWER INEQUALITIES OF HEAT SEMIGROUPS BY USING PARABOLIC MAXIMUM PRINCIPLE

被引：0

作者：

胡二彦 ^{[1
]}

机构：

[1] Department of Mathematical Sciences, Tsinghua University,Beijing 100084, China

来源：

ActaMathematicaScientia | 2012年 / 32卷 / 04期

关键词：

Dirichlet form; parabolic maximum principle; heat kernel;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

Using parabolic maximum principle, we apply the analytic method to obtain lower comparison inequalities for non-negative weak supersolutions of the heat equation associated with a regular strongly ρ-local Dirichlet form on the abstract metric measure space. As an application, we obtain lower estimates for heat kernels on some Riemannian manifolds.

引用

页码：1349 / 1364

页数：16