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:
| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
|---|---|
| Дата: | 2016 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/140553 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862735605357608960 |
|---|---|
| author | Mustafayeva, Y.Y. Aliyev, N.A. |
| author_facet | Mustafayeva, Y.Y. Aliyev, N.A. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
|
| first_indexed | 2025-12-07T19:49:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140553 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T19:49:40Z |
| publishDate | 2016 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Mustafayeva, Y.Y. Aliyev, N.A. 2018-07-10T14:21:44Z 2018-07-10T14:21:44Z 2016 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 https://nasplib.isofts.kiev.ua/handle/123456789/140553 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions Article published earlier |
| spellingShingle | New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions Mustafayeva, Y.Y. Aliyev, N.A. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140553 |
| work_keys_str_mv | AT mustafayevayy newmethodofsolvabilityofathreedimensionallaplaceequationwithnonlocalboundaryconditions AT aliyevna newmethodofsolvabilityofathreedimensionallaplaceequationwithnonlocalboundaryconditions |