The Poisson problem in a domain with a cut

被引：0

作者：

Subbotin Y.N. ^{[1
]}

Chernykh N.I. ^{[1
]}

机构：

[1] Ural Federal University

来源：

Siberian Advances in Mathematics | 2012年 / 22卷 / 3期

关键词：

elliptic ring; harmonic wavelets; Laplace operator; Poisson boundary value problem;

D O I：

10.3103/S1055134412030042

中图分类号：

学科分类号：

摘要：

With the help of harmonic wavelets, we study the behavior of solutions to the Poisson problem in an elliptic ring when the interior bound shrinks to a segment. It is demonstrated that only partial derivatives of a solution have unbounded singularities near the ends of this segment. © 2012 Allerton Press, Inc.

引用

页码：204 / 216

页数：12

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