The uniquely solvable integral equation for the harmonic Dirichlet problem in a plane domain with cuts

被引：0

作者：

Krutitskii, PA ^{[1
]}

机构：

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

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1999年 / 79卷 / 09期

关键词：

D O I：

10.1002/(SICI)1521-4001(199909)79:9<591::AID-ZAMM591>3.0.CO;2-W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundary integral equation method is applied to the Dirichlet problem Sor harmonic functions in a connected plane region with cuts. The problem is reduced to a Fredholm equation of the second kind which is uniquely solvable. In this way the classical solution of the Dirichlet problem is obtained. The solution is unique.

引用

页码：591 / 601

页数：11

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