THE ASYMPTOTICS OF THE LAPLACIAN ON A MANIFOLD WITH BOUNDARY

被引：219

作者：

BRANSON, TP ^{[1
]}

GILKEY, PB ^{[1
]}

机构：

[1] UNIV OREGON,DEPT MATH,EUGENE,OR 97403

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1990年 / 15卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1080/03605309908820686

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let P be a second-order differential operator with leading symbol given by the metric tensor on a compact Riemannian manifold with boundary. We compute the asymptotics of the heat equation for Dirichlet, Neumann, and mixed boundary conditions. © 1990, Taylor & Francis Group, LLC. All rights reserved.

引用

页码：245 / 272

页数：28

共 28 条

[1]

BRANSON T, IN PRESS P AM MATH S

[2]

BROOKS R, IN PRESS DUKE MATH J

[3]

CHANG SYA, IN PRESS CONT MATH

[4]

GILKEY PB, 1979, COMPOS MATH, V38, P201