On Green's Function of the Dirichlet Problem for the Polyharmonic Equation in the Ball

被引：3

作者：

Karachik, Valery ^{[1
]}

机构：

[1] South Ural State Univ, Dept Math Anal & Methods Teaching Math, Chelyabinsk 454080, Russia

来源：

AXIOMS | 2023年 / 12卷 / 06期

关键词：

Dirichlet problem; polyharmonic equation; Green's function; BIHARMONIC EQUATION; NEUMANN FUNCTION; ROBIN PROBLEM;

D O I：

10.3390/axioms12060543

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper gives an explicit representation of the Green's function of the Dirichlet boundary value problem for the polyharmonic equation in the unit ball. The solution of the homogeneous Dirichlet problem is found. An example of solving the homogeneous Dirichlet problem with the simplest polynomial right-hand side of the polyharmonic equation is given.

引用

页数：16

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