Riquier-Neumann Problem for the Polyharmonic Equation in a Ball

被引：4
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.
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页数：21
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