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.
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页码：204 / 216
页数：12
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