Divergence form elliptic equations with discontinuous coefficients

被引：240

作者：

Li, YY ^{[1
]}

Vogelius, M

机构：

[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

[2] Univ Paris 06, Dept Math, F-75252 Paris 05, France

[3] Mittag Leffler Inst, Djursholm, Sweden

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2000年 / 153卷 / 02期

关键词：

Elliptic Equation; Divergence Form; Discontinuous Coefficient; Continuous Coefficient; Divergence Form Elliptic Equation;

D O I：

10.1007/s002050000082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we derive global W-1,W- infinity and piecewise C-1,C- alpha estimates for solutions to divergence form elliptic equations with piecewise Holder continuous coefficients. The novelty of these estimates is that, even though they depend on the shape and on the size of the surfaces of discontinuity of the coefficients, they are independent of the distance between these surfaces.

引用

页码：91 / 151

页数：61

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