On the solution of boundary value problems for the laplace equation on the plane with a three-layer film inclusion

被引：1

作者：

Kholodovskii, S. E. ^{[1
]}

机构：

[1] Transbaikal State Univ, Chita, Russia

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 12期

关键词：

Singular Point; Harmonic Function; Laplace Equation; Transmission Condition; Helmholtz Equation;

D O I：

10.1134/S0012266113120203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive analytic formulas that, on the basis of given harmonic functions, permit one to construct solutions of boundary value problems on a plane containing an infinitely thin three-layer film by simple quadratures with the preservation of singular points of the harmonic functions. The three-layer film consists of alternating strongly and weakly permeable layers and has the form of a ray, a segment, or a circle arc.

引用

页码：1655 / 1660

页数：6

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