Riquier-Neumann Problem for the Polyharmonic Equation in a 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：

MATHEMATICS | 2023年 / 11卷 / 04期

关键词：

Riquier-Neumann problem; polyharmonic equation; Green's function; GREEN-FUNCTION; DIRICHLET PROBLEM; BIHARMONIC EQUATION; ROBIN PROBLEM;

D O I：

10.3390/math11041000

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Green's function of the Riquier-Neumann problem for the polyharmonic equation in the unit ball is constructed. Using the obtained Green's function, an integral representation of the solution to the Riquier-Neumann problem in the unit ball is found.

引用

页数：21

共 50 条

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[3] Riquier–Neumann Problem for the Polyharmonic Equation in a Ball
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[10] Class of Neumann-Type Problems for the Polyharmonic Equation in a Ball
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