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.
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页码：1982 / 1991
页数：9
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