Уравнения соболевского типа в общих областях
We consider the boundary value problem for the Sobolev type third order equation. It is prescribed the periodicity along time-operator characteristics. Regularity of the coefficients or domain are very weakened, but we demand from time-operator the existence of good invariant measure for its charact...
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| Date: | 2002 |
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| Main Author: | |
| Format: | Article |
| Language: | Russian |
| Published: |
Інститут прикладної математики і механіки НАН України
2002
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| Series: | Нелинейные граничные задачи |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/169226 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Уравнения соболевского типа в общих областях / С.Г. Суворов // Нелинейные граничные задачи. — 2002. — Т. 12. — С. 165-172. — Бібліогр.: 18 назв. — рос. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We consider the boundary value problem for the Sobolev type third order equation. It is prescribed the periodicity along time-operator characteristics. Regularity of the coefficients or domain are very weakened, but we demand from time-operator the existence of good invariant measure for its characteristic system. The notion of “characteristics” for a first-order operator with L∞-coefficients is defined. |
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