Smoothness of solutions of the Dirichlet problem for the biharmonic equation in nonsmooth 2D domains

被引：0

作者：

Chichoyan, S. F. ^{[1
]}

机构：

[1] Moscow Univ Finance & Law MFUA, Grad Sch Sci, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2016年 / 52卷 / 02期

关键词：

Generalize Solution; Dirichlet Problem; Unbounded Domain; Integral Identity; Biharmonic Equation;

D O I：

10.1134/S0012266116020129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the smoothness of a generalized solution of the Dirichlet problem for the biharmonic equation in a two-dimensional domain. We introduce a weighted test function and derive an estimate for the absolute value of the solution in a neighborhood of an irregular boundary point.

引用

页码：260 / 264

页数：5

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