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New method of solvability of a three-dimensional Laplace equation with nonlocal boundary conditions
Y. Y. Mustafayeva, N. A. Aliyev Baku State University, 23 Z. Khalilov Str., AZ 1148, Baku, Azerbaijan
Аннотация:
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.
Ключевые слова и фразы:
non-local boundary conditions, three-dimensional Laplace equation, multi-dimensional singular integral, necessary conditions, regularization, Fredholm property.
Поступила в редакцию: 09.11.2014 Исправленный вариант: 23.10.2015
Образец цитирования:
Y. Y. Mustafayeva, N. A. Aliyev, “New method of solvability of a three-dimensional Laplace equation with nonlocal boundary conditions”, Журн. матем. физ., анал., геом., 12:3 (2016), 185–204
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag651 https://www.mathnet.ru/rus/jmag/v12/i3/p185
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