The Dirichlet problem in a domain with a slit

被引：1

作者：

Chernykh, N. I. ^{[1
]}

Subbotin, Yu. N. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg 620219, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2009年 / 266卷

关键词：

harmonic wavelets; Dirichlet problem; domain with a slit; asymptotic expansion; approximation error;

D O I：

10.1134/S008154380906008X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A basis of harmonic wavelets is constructed in an elliptic ring, and its approximation properties are investigated. The results are used to analyze the behavior of a boundary-value Dirichlet problem under the contraction of the inner boundary of the ring to a segment.

引用

页码：S103 / S117

页数：15