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.
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页码：45 / 77
页数：33
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