Sharp explicit lower bounds of heat kernels

被引：13

作者：

Wang, FY ^{[1
]}

机构：

[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

[2] Univ Warwick, Coventry CV4 7AL, W Midlands, England

来源：

ANNALS OF PROBABILITY | 1997年 / 25卷 / 04期

关键词：

heat kernel; logarithmic transformation; diffusion process;

D O I：

10.1214/aop/1023481118

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 logarithmic transformations, an explicit lower bound estimate of heat kernels is obtained for diffusion processes on Riemannian manifolds. This estimate is sharp for both short and long times, especially for heat kernels on a compact manifold, and is extended to manifolds with unbounded curvature.

引用

页码：1995 / 2006

页数：12

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