CONSTRUCTION OF GREEN'S FUNCTION OF THE NEUMANN PROBLEM IN A BALL

被引：0

作者：

Sadybekov, M. A. ^{[1
]}

Torebek, B. T. ^{[1
]}

Turmetov, B. Kh. ^{[2
]}

机构：

[1] Inst Math & Math Modeling, 125 Pushkin St, Alma Ata 050010, Kazakhstan

[2] A Yasawi Int Kazakh Turkish Univ, 29 Sattarhanov St, Turkestan 161200, Kazakhstan

来源：

EURASIAN MATHEMATICAL JOURNAL | 2016年 / 7卷 / 02期

关键词：

Green's function; Neumann problem; Poisson equation; Laplace operator; Neumann kernel;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Representation of the Green's function of the classical Neumann problem for the Poisson equation in the unit ball of arbitrary dimension is given. In constructing this function we use the representation of the fundamental solution of the Laplace equation in the form of a series. It is shown that Green's function can be represented in terms of elementary functions and its explicit form can be written out. An explicit form of the Neumann kernel was constructed for n = 4 and n = 5.

引用

页码：100 / 105

页数：6

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