New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions

被引：0

作者：

Mustafayeva, Y. Y. ^{[1
]}

Aliyev, N. A. ^{[1
]}

机构：

[1] Baku State Univ, 23 Z Khalilov Str, AZ-1148 Baku, Azerbaijan

来源：

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY | 2016年 / 12卷 / 03期

关键词：

non-local boundary conditions; three-dimensional Laplace equation; multi-dimensional singular integral; necessary conditions; regularization; Fredholm property;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The solutions of a boundary problem with non-local boundary conditions for a three-dimensional Laplace equation are studied. Here, the boundary conditions are the most common and linear. Further, we note that the singular integrals appearing in the necessary conditions are multi-dimensional. Therefore, the regularization of these singularities is much more difficult than the regularization of one-dimensional singular integrals. After the regularization of singularities the Fredholm property of the problem is proved.

引用

页码：185 / 204

页数：20

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