Local solvability of fully nonlinear parabolic problems of higher order
The paper is devoted to reduction of fully nonlinear parabolic problems of high order to operator equations involving operator satisfying (S₊) condition. The topological methods could be used to investigate solvability of such operator equations. The theorems of uniqueness and local existence for so...
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| Published in: | Нелинейные граничные задачи |
|---|---|
| Date: | 2000 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2000
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/169252 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Local solvability of fully nonlinear parabolic problems of higher order / I.B. Romanenko // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 156-161. — Бібліогр.: 3 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862549638663372800 |
|---|---|
| author | Romanenko, I.B. |
| author_facet | Romanenko, I.B. |
| citation_txt | Local solvability of fully nonlinear parabolic problems of higher order / I.B. Romanenko // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 156-161. — Бібліогр.: 3 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| description | The paper is devoted to reduction of fully nonlinear parabolic problems of high order to operator equations involving operator satisfying (S₊) condition. The topological methods could be used to investigate solvability of such operator equations. The theorems of uniqueness and local existence for solution of boundary value problem, proved by topological approach are formulated in the paper. The results formulated are generalizations of analogous facts proved in [1].
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| first_indexed | 2025-11-25T20:37:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169252 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-11-25T20:37:26Z |
| publishDate | 2000 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Romanenko, I.B. 2020-06-09T12:26:40Z 2020-06-09T12:26:40Z 2000 Local solvability of fully nonlinear parabolic problems of higher order / I.B. Romanenko // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 156-161. — Бібліогр.: 3 назв. — англ. 0236-0497 https://nasplib.isofts.kiev.ua/handle/123456789/169252 The paper is devoted to reduction of fully nonlinear parabolic problems of high order to operator equations involving operator satisfying (S₊) condition. The topological methods could be used to investigate solvability of such operator equations. The theorems of uniqueness and local existence for solution of boundary value problem, proved by topological approach are formulated in the paper. The results formulated are generalizations of analogous facts proved in [1]. en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Local solvability of fully nonlinear parabolic problems of higher order Article published earlier |
| spellingShingle | Local solvability of fully nonlinear parabolic problems of higher order Romanenko, I.B. |
| title | Local solvability of fully nonlinear parabolic problems of higher order |
| title_full | Local solvability of fully nonlinear parabolic problems of higher order |
| title_fullStr | Local solvability of fully nonlinear parabolic problems of higher order |
| title_full_unstemmed | Local solvability of fully nonlinear parabolic problems of higher order |
| title_short | Local solvability of fully nonlinear parabolic problems of higher order |
| title_sort | local solvability of fully nonlinear parabolic problems of higher order |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169252 |
| work_keys_str_mv | AT romanenkoib localsolvabilityoffullynonlinearparabolicproblemsofhigherorder |