Representation of solution of the Dirichlet problem for the Laplace equation in the form of a generalized convolution

被引：4
作者：
Kal'menov, Tynysbek Sh. [1 ]
Arepova, Gaukhar D. [1 ,2 ]
机构：
[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan
[2] AI Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2019年 / 64卷 / 05期
关键词：
Laplace's equation; Helmholtz's equation; Dirichlet's problem; fundamental solutions; nonlocal boundary conditions; generalized convolution; BOUNDARY-VALUE PROBLEM; DIFFERENTIAL-EQUATIONS; SPECTRAL PROBLEMS; CAUCHY-PROBLEM; CRITERION;
D O I：
10.1080/17476933.2018.1533003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give an integral representation of the solution of the Dirichlet problem for the Laplace and Helmholtz equations in the form of a generalized convolution.
引用
收藏
页码：816 / 824
页数：9
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