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.
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页码：874 / 878
页数：5
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