New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
New Method of Solvability of a Three-dimensional Laplace Equation with Nonlocal Boundary Conditions
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| Creator |
Mustafayeva, Y.Y.
Aliyev, N.A. |
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| 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.
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| Date |
2018-07-10T14:21:44Z
2018-07-10T14:21:44Z 2016 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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