THE DAVIES METHOD FOR HEAT KERNEL UPPER BOUNDS OF NON-LOCAL DIRICHLET FORMS ON ULTRA-METRIC SPACES

• 作者: Jin GAO
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 1240-1248
• 页数: 9页
• 语种: 英文

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.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Jin GAO		1	0	0.0	0.0