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...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2016 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/140553 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions |
| spellingShingle |
New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions Mustafayeva, Y.Y. Aliyev, N.A. |
| 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 |
| author |
Mustafayeva, Y.Y. Aliyev, N.A. |
| author_facet |
Mustafayeva, Y.Y. Aliyev, N.A. |
| publishDate |
2016 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT mustafayevayy newmethodofsolvabilityofathreedimensionallaplaceequationwithnonlocalboundaryconditions AT aliyevna newmethodofsolvabilityofathreedimensionallaplaceequationwithnonlocalboundaryconditions |
| first_indexed |
2025-12-07T19:49:40Z |
| last_indexed |
2025-12-07T19:49:40Z |
| _version_ |
1850880274041143296 |