Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations
The present paper deals with the well-posedness and regularity of one class of one-dimensional time-dependent boundary-value problems with global boundary conditions on the entire time interval. We establish conditions for the well-posedness of boundary-value problems for partial differential equati...
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| Published in: | Український математичний журнал |
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| Date: | 2002 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2002
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/164333 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Well-Posed and Regular Nonlocal Boundary-Value Problems for Partial Differential Equations / E. Kengne // Український математичний журнал. — 2002. — Т. 54, № 8. — С. 1135–1142. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The present paper deals with the well-posedness and regularity of one class of one-dimensional time-dependent boundary-value problems with global boundary conditions on the entire time interval. We establish conditions for the well-posedness of boundary-value problems for partial differential equations in the class of bounded differentiable functions. A criterion for the regularity of the problem under consideration is also obtained.
Розглядаються питання коректності та регулярності для одного класу нестаціонарних граничних задач із однією просторовою змінною та глобальними граничними умовами за часом. Встановлено умови коректності задачі в класі обмежених диференціповних функцій, а також умови її регулярності.
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| ISSN: | 1027-3190 |