Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains

被引：42

作者：

Bacuta, C ^{[1
]}

Bramble, JH

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2003年 / 54卷 / 05期

关键词：

regularity; biharmonic operator; shift theorems;

D O I：

10.1007/s00033-003-3211-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Dirichlet problem for the plane elasticity problem on a convex polygonal domain is considered and it is proved that for data in L-2 the H-2 regularity estimate holds with constants independent of the Lame coefficients.

引用

页码：874 / 878

页数：5

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