Global heat kernel estimates

被引：55

作者：

Wang, JP

机构：

[1] Stanford University, Stanford

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1997年 / 178卷 / 02期

关键词：

D O I：

10.2140/pjm.1997.178.377

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by first deriving a global version of gradient estimates, we obtain both upper and lower bound estimates for the heat kernel satisfying Neumann boundary conditions on a compact Riemannian manifold with nonconvex boundary.

引用

页码：377 / 398

页数：22

共 9 条

[1] CHEN R, 1990, P AM MATH SOC, V108, P961
[2] HEAT KERNEL ESTIMATES AND LOWER BOUND OF EIGENVALUES
CHENG, SY
LI, P
[J]. COMMENTARII MATHEMATICI HELVETICI, 1981, 56 (03) : 327 - 338
[3] CROKE CB, 1980, ANN SCI ECOLE NORM S, V13, P419
[4] FABES EB, 1986, ARCH RATION MECH AN, V96, P327
[5] THE HEAT-EQUATION ON NONCOMPACT RIEMANNIAN-MANIFOLDS
GRIGORYAN, AA
[J]. MATHEMATICS OF THE USSR-SBORNIK, 1992, 72 (01): : 47 - 77
[6] ON THE PARABOLIC KERNEL OF THE SCHRODINGER OPERATOR
LI, P
YAU, ST
[J]. ACTA MATHEMATICA, 1986, 156 (3-4) : 153 - 201
[7] LI P, 1991, LECT NOTES HEAT KERN
[8] SALOFFCOSTE L, 1992, DUKE MATH J, V65, P27
[9] VAROPOULOS N, 1985, J FUNCT ANAL, V98, P240

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