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

被引：0
作者：
Jin Gao
机构：
[1] Tsinghua University,Department of Mathematical Sciences
来源：
Acta Mathematica Scientia | 2020年 / 40卷
关键词：
heat kernel; ultra-metric; Davies method; 35K08; 28A80; 60J35;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1240 / 1248
页数：8
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