DIRICHLETS PROBLEM FOR THE HELMHOLTZ-EQUATION OUTSIDE CUTS IN A PLANE

被引：0
作者：
KRUTITSKII, PA
机构：
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1994年 / 34卷 / 8-9期
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Dirichlet's problem for the Helmholtz equation outside cuts in a plane is reduced to Fredholm's equation of the second kind, which has a unique solution for any right-hand side. An existence theorem for the classical solution of the problem is thereby proved. The solution is also unique. The behaviour of the gradient of the solution at the ends of the cuts is investigated.
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页码：1073 / 1090
页数：18
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