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
收藏
页码：423 / 428
页数：6
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