Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End

被引：1

作者：

Grigor'yan, Alexander ^{[1
]}

Suerig, Philipp ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, Postfach 100131, D-33501 Bielefeld, Germany

来源：

POTENTIAL ANALYSIS | 2024年 / 60卷 / 01期

关键词：

Manifolds with ends; Heat kernel; Isoperimetric inequality; ISOPERIMETRIC-INEQUALITIES;

D O I：

10.1007/s11118-022-10044-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate heat kernel estimates of the form p(t)(x,x) >= c(x)t(-alpha), for large enough t, where alpha and c(x) are positive reals and c(x) may depend on x, on manifolds having at least one end with a polynomial volume growth.

引用

页码：45 / 77

页数：33

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