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

页码：816 / 824

页数：9

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