Representation for the Green's function of the Dirichlet problem for polyharmonic equations in a ball

被引：28

作者：

Kal'menov, T. Sh. ^{[1
]}

Koshanov, B. D. ^{[1
]}

机构：

[1] Minist Educ & Sci Republ Kazakhstan, Res Ctr Phys & Math, Alma Ata, Kazakhstan

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2008年 / 49卷 / 03期

关键词：

polyharmonic equation; Dirichlet problem; Green's function;

D O I：

10.1007/s11202-008-0042-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We explicitly construct the Green's function for the Dirichlet problem for polyharmonic equations in a ball in a space of arbitrary dimension. The formulas for the Green's function are of interest in their own right. In particular, the explicit representations for a solution to the Dirichlet problem for the biharmonic equation are important in elasticity.

引用

页码：423 / 428

页数：6

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