On the solution of the exterior dirichlet problem for an axisymmetric potential

被引：0

作者：

Plaksa S.A. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

来源：

Ukrainian Mathematical Journal | 2002年 / 54卷 / 12期

关键词：

Integral Equation; Explicit Form; Unit Circle; Additional Condition; Dirichlet Problem;

D O I：

10.1023/A:1024073231378

中图分类号：

学科分类号：

摘要：

For an unbounded domain of the meridian plane with bounded smooth boundary that satisfies certain additional conditions, we develop a method for the reduction of the Dirichlet problem for an axisymmetric potential to Fredholm integral equations. In the case where the boundary of the domain is a unit circle, we obtain a solution of the exterior Dirichlet problem in explicit form. © 2002 Plenum Publishing Corporation.

引用

页码：1982 / 1991

页数：9

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