On an explicit form of the Green function of the third boundary value problem for the Poisson equation in a circle

被引：29

作者：

Sadybekov, Makhmud A. ^{[1
]}

Torebek, Berikbol T. ^{[2
]}

Turmetov, Batirkhan Kh ^{[2
]}

机构：

[1] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[2] Akhmet Yasawi Int Kazakh Turkish Univ, Turkistan 161200, Kazakhstan

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014) | 2014年 / 1611卷

关键词：

Poisson equation; Robin problem; Harmonic function; Fundamental solution of the Laplace equation; Green's function; Boundary value problems;

D O I：

10.1063/1.4893843

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to the investigation of questions about constructing the explicit form of the Green's function of the Robin problem. For constructing this function we use the representation of the fundamental solution of the Laplace equation in the form of a series. An integral representation of the Green function is obtained and for some values of the parameters, the problem is presented in elementary functions.

引用

页码：255 / 260

页数：6

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