The Dirichlet problem for the 2-D Helmholtz equation in a multiply connected domain with cuts

被引：17

作者：

Krutitskii, PA ^{[1
]}

机构：

[1] Moscow State Univ, Fac Phys, Dept Math, RUS-119899 Moscow, Russia

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1997年 / 77卷 / 12期

关键词：

D O I：

10.1002/zamm.19970771202

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Dirichlet problem for the dissipative Helmholtz equation in a 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 second kind, which is uniquely solvable.

引用

页码：883 / 890

页数：8