О краевых задачах для эллиптического уравнения с комплексными коэффициекгами и одной проблеме моментов
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
О краевых задачах для эллиптического уравнения с комплексными коэффициекгами и одной проблеме моментов
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| Creator |
Бурский, В.П.
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| Subject |
Стаття
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| Description |
Elliptic systems of two second-order equations, which can be written as a single equation with complex coefficients and a homogeneous operator, are studied. The necessary and sufficient conditions for the connection of traces of a solution are obtained for an arbitrary bounded domain with a smooth boundary. These conditions are formulated in the form of a certain moment problem on the boundary of a domain; they are applied to the study of boundary-value problems. In particular, it is shown that the Dirichlet problem and the Neumann problem are solvable only together. In the case where the domain is a disk, the indicated moment problem is solved together with the Dirichlet problem and the Neumann problem. The third boundary-value problem in a disk is also investigated.
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| Date |
2019-06-18T13:39:14Z
2019-06-18T13:39:14Z 1993 |
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| Type |
Article
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| Identifier |
О краевых задачах для эллиптического уравнения с комплексными коэффициекгами и одной проблеме моментов / В.П. Бурский // Український математичний журнал. — 1993. — Т. 45, № 11. — С. 1476–1483. — Бібліогр.: 11 назв. — рос.
1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/156430 517.947 |
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| Language |
ru
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| Relation |
Український математичний журнал
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| Publisher |
Інститут математики НАН України
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