New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions
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. Therefo...
Збережено в:
| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/140553 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions / Y.Y. Mustafayeva, N.A. Aliyev // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 3. — С. 185-204. — Бібліогр.: 25 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-140553 |
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irk-123456789-1405532018-07-11T01:22:58Z New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions Mustafayeva, Y.Y. Aliyev, N.A. 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 di±cult than the regularization of one-dimensional singular integrals. After the regularization of singularities the Fredholm property of the problem is proved. 2016 Article New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions / Y.Y. Mustafayeva, N.A. Aliyev // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 3. — С. 185-204. — Бібліогр.: 25 назв. — англ. 1812-9471 DOI: doi.org/10.15407/mag12.03.185 Mathematics Subject Classification 2010: 35J05, 35J40 http://dspace.nbuv.gov.ua/handle/123456789/140553 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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 di±cult than the regularization of one-dimensional singular integrals. After the regularization of singularities the Fredholm property of the problem is proved. |
| format |
Article |
| author |
Mustafayeva, Y.Y. Aliyev, N.A. |
| spellingShingle |
Mustafayeva, Y.Y. Aliyev, N.A. New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions Журнал математической физики, анализа, геометрии |
| author_facet |
Mustafayeva, Y.Y. Aliyev, N.A. |
| author_sort |
Mustafayeva, Y.Y. |
| title |
New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions |
| title_short |
New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions |
| title_full |
New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions |
| title_fullStr |
New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions |
| title_full_unstemmed |
New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions |
| title_sort |
new method of solvability of a three-dimensional laplace equation with nonlocal boundary conditions |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/140553 |
| citation_txt |
New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions / Y.Y. Mustafayeva, N.A. Aliyev // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 3. — С. 185-204. — Бібліогр.: 25 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
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2023-10-18T21:22:54Z |
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2023-10-18T21:22:54Z |
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