The 2-Dimensional Dirichlet Problem in an External Domain with Cuts

被引：0

作者：

Krutitskii, P. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Dept Math, Moscow 119899, Russia

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1998年 / 17卷 / 02期

关键词：

Harmonic functions; Dirichlet problem; plane domains with cuts; potential theory; boundary integral equation method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Dirichlet problem for the Laplace equation in an external connected plane region with cuts is studied. The existence of a classical solution is proved by potential theory. The problem is reduced to a Fredholm equation of the second kind, which is uniquely solvable. Consequently, the solution can be computed by standard codes. The solvability of the Dirichlet problem in an internal domain with cuts is proved with the help of a conformal mapping.

引用

页码：361 / U258

页数：16

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