Sobolev regularity of the second biharmonic problem on a rectangle

被引：0

作者：

János Karátson

机构：

[1] Department of Applied Analysis Eötvös Loránd University,

来源：

Acta Mathematica Hungarica | 2005年 / 109卷

关键词：

decomposition; biharmonic; regularity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is proved that for any f &esin; L2(Ω) the weak solution of the second biharmonic problem on a rectangle satisfies u&esin; H4(Ω). The proof uses the decomposition of the problem into two Poisson equations and a general condition for H4-regularity via the eigenvalues and eigenfunctions of second order elliptic operators.

引用

页码：255 / 259

页数：4

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