Phase spaces for a class of Sobolev type equations
The solvability of the Cauchy problem u(0) = u₀ of an semilinear differential operator equation Lǔ = Mu+N(u) is under consideration. The abstract results are illustrated by the Cauchy–Dirichlet problem for degenerate reaction-diffusion equations and for Navier–Stokes equations, and by the Cauchy–Ber...
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| Published in: | Український математичний вісник |
|---|---|
| Date: | 2004 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124619 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Phase spaces for a class of Sobolev type equations / G.A. Sviridyuk // Український математичний вісник. — 2004. — Т. 1, № 2. — С. 259-272. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862693227258183680 |
|---|---|
| author | Sviridyuk, G.A. |
| author_facet | Sviridyuk, G.A. |
| citation_txt | Phase spaces for a class of Sobolev type equations / G.A. Sviridyuk // Український математичний вісник. — 2004. — Т. 1, № 2. — С. 259-272. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | The solvability of the Cauchy problem u(0) = u₀ of an semilinear differential operator equation Lǔ = Mu+N(u) is under consideration. The abstract results are illustrated by the Cauchy–Dirichlet problem for degenerate reaction-diffusion equations and for Navier–Stokes equations, and by the Cauchy–Bernard problem for Oskolkov thermoconvection equations.
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| first_indexed | 2025-12-07T16:20:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124619 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T16:20:42Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Sviridyuk, G.A. 2017-09-30T10:05:57Z 2017-09-30T10:05:57Z 2004 Phase spaces for a class of Sobolev type equations / G.A. Sviridyuk // Український математичний вісник. — 2004. — Т. 1, № 2. — С. 259-272. — Бібліогр.: 14 назв. — англ. 1810-3200 2000 MSC. 35M99, 35Q35, 34G20 https://nasplib.isofts.kiev.ua/handle/123456789/124619 The solvability of the Cauchy problem u(0) = u₀ of an semilinear differential operator equation Lǔ = Mu+N(u) is under consideration. The abstract results are illustrated by the Cauchy–Dirichlet problem for degenerate reaction-diffusion equations and for Navier–Stokes equations, and by the Cauchy–Bernard problem for Oskolkov thermoconvection equations. en Інститут прикладної математики і механіки НАН України Український математичний вісник Phase spaces for a class of Sobolev type equations Article published earlier |
| spellingShingle | Phase spaces for a class of Sobolev type equations Sviridyuk, G.A. |
| title | Phase spaces for a class of Sobolev type equations |
| title_full | Phase spaces for a class of Sobolev type equations |
| title_fullStr | Phase spaces for a class of Sobolev type equations |
| title_full_unstemmed | Phase spaces for a class of Sobolev type equations |
| title_short | Phase spaces for a class of Sobolev type equations |
| title_sort | phase spaces for a class of sobolev type equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124619 |
| work_keys_str_mv | AT sviridyukga phasespacesforaclassofsobolevtypeequations |