The Davies Method for Heat Kernel Upper Bounds of Non-Local Dirichlet Forms on Ultra-Metric Spaces

被引：0

作者：

Gao, Jin ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2020年 / 40卷 / 05期

基金：

中国国家自然科学基金;

关键词：

heat kernel; ultra-metric; Davies method;

D O I：

10.1007/s10473-020-0506-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply the Davies method to give a quick proof for the upper estimate of the heat kernel for the non-local Dirichlet form on the ultra-metric space. The key observation is that the heat kernel of the truncated Dirichlet form vanishes when two spatial points are separated by any ball of a radius larger than the truncated range. This new phenomenon arises from the ultra-metric property of the space.

引用

页码：1240 / 1248

页数：9

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