Wqˡ-regularity of solutions to systems of partial differential equations
We obtain a solution, in a sense final from the standpoint of the theory of Sobolev spaces, to the problem of Wqˡ-regularity of solutions to a system of (generally) nonlinear partial differential equations in the case where the system is locally close to elliptic systems of linear equations with con...
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| Опубліковано в: : | Нелинейные граничные задачи |
|---|---|
| Дата: | 2004 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/169176 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Wqˡ-regularity of solutions to systems of partial differential equations / A.P. Kopylov // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 81-89. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862632705228800000 |
|---|---|
| author | Kopylov, A.P. |
| author_facet | Kopylov, A.P. |
| citation_txt | Wqˡ-regularity of solutions to systems of partial differential equations / A.P. Kopylov // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 81-89. — Бібліогр.: 7 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| description | We obtain a solution, in a sense final from the standpoint of the theory of Sobolev spaces, to the problem of Wqˡ-regularity of solutions to a system of (generally) nonlinear partial differential equations in the case where the system is locally close to elliptic systems of linear equations with constant coefficients (see Theorem 9). This result gives a number of important consequences for solutions as to nonlinear systems as to linear systems.
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| first_indexed | 2025-11-30T13:44:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169176 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-11-30T13:44:27Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kopylov, A.P. 2020-06-07T16:39:32Z 2020-06-07T16:39:32Z 2004 Wqˡ-regularity of solutions to systems of partial differential equations / A.P. Kopylov // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 81-89. — Бібліогр.: 7 назв. — англ. 0236-0497 https://nasplib.isofts.kiev.ua/handle/123456789/169176 We obtain a solution, in a sense final from the standpoint of the theory of Sobolev spaces, to the problem of Wqˡ-regularity of solutions to a system of (generally) nonlinear partial differential equations in the case where the system is locally close to elliptic systems of linear equations with constant coefficients (see Theorem 9). This result gives a number of important consequences for solutions as to nonlinear systems as to linear systems. en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Wqˡ-regularity of solutions to systems of partial differential equations Article published earlier |
| spellingShingle | Wqˡ-regularity of solutions to systems of partial differential equations Kopylov, A.P. |
| title | Wqˡ-regularity of solutions to systems of partial differential equations |
| title_full | Wqˡ-regularity of solutions to systems of partial differential equations |
| title_fullStr | Wqˡ-regularity of solutions to systems of partial differential equations |
| title_full_unstemmed | Wqˡ-regularity of solutions to systems of partial differential equations |
| title_short | Wqˡ-regularity of solutions to systems of partial differential equations |
| title_sort | wqˡ-regularity of solutions to systems of partial differential equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169176 |
| work_keys_str_mv | AT kopylovap wqlregularityofsolutionstosystemsofpartialdifferentialequations |