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
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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.
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页码：255 / 259
页数：4
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