Початковi задачi для параболiчних систем Солонникова–Ейдельмана
Initial problems for a new class of systems, which unite the structures of Solonnikov-parabolic and Eidelman-parabolic systems, are considered. The theorem on a correct solvability of these problems in Holder spaces of rapidly growing functions is proved, and an estimate of the norms of solutions th...
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| Datum: | 2007 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainian |
| Veröffentlicht: |
Видавничий дім "Академперіодика" НАН України
2007
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| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/3123 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Початковi задачi для параболiчних систем Солонникова–Ейдельмана / С.Д. Івасишен, Г.П. Івасюк // Доп. НАН України. — 2007. — № 9. — С. 7-11. — Бібліогр.: 10 назв. — укp. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | Initial problems for a new class of systems, which unite the structures of Solonnikov-parabolic and Eidelman-parabolic systems, are considered. The theorem on a correct solvability of these problems in Holder spaces of rapidly growing functions is proved, and an estimate of the norms of solutions through the corresponding norms of right-hand members of a problem is obtained. For a correctness of such an estimate, the requirement of parabolicity of a system is not only sufficient, but also necessary.
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| ISSN: | 1025-6415 |