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...
Saved in:
| Date: | 2007 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Видавничий дім "Академперіодика" НАН України
2007
|
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/3123 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| Summary: | 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.
|
|---|---|
| ISSN: | 1025-6415 |