On boundary value problems of the Samarskii-Ionkin type for the Laplace operator in a ball

被引：1
|
作者：
Sadybekov, Makhmud [1 ]
Dukenbayeva, Aishabibi [1 ,2 ,3 ]
机构：
[1] Inst Math & Math Modelling, Alma Ata, Kazakhstan
[2] Al Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan
[3] Univ Ghent, Dept Math Anal Log & Discrete Math, Ghent, Belgium
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2022年 / 67卷 / 02期
关键词：
Laplace operator; Poisson's equation; boundary value problem; nonlocal boundary value problem; Samarskii-Ionkin problem; SOLVABILITY; EQUATION;
D O I：
10.1080/17476933.2020.1828377
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider nonlocal boundary value problems for the Laplace operator in a ball, which are a multidimensional generalisation of the Samarskii-Ionkin problem. The well-posedness of the problems are investigated, and Fredholm property of the problems are studied. Moreover, we obtain integral representations of their solutions in explicit forms.
引用
收藏
页码：369 / 383
页数：15
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