Boundary layer methods for Lipschitz domains in Riemannian manifolds

被引：100

作者：

Mitrea, M

Taylor, M

机构：

[1] Romanian Acad, Math Inst, RO-70700 Bucharest, Romania

[2] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1999年 / 163卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jfan.1998.3383

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend to the variable coefficient case boundary layer techniques that have been successful in the treatment of the Laplace equation and certain other constant coefficient elliptic partial differential equations on Lipschitz domains in Euclidean space, We treat the Laplace operator on Lipschitz domains in a manifold with C-1 metric tensor and study the Dirichlet, Neumann, and oblique derivative boundary problems. (C) 1999 Academic Press.

引用

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页码：181 / 251

页数：71

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