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: Kopylov, A.P.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2004
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
id nasplib_isofts_kiev_ua-123456789-169176
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Wqˡ-regularity of solutions to systems of partial differential equations
spellingShingle Wqˡ-regularity of solutions to systems of partial differential equations
Kopylov, A.P.
title_short 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_sort wqˡ-regularity of solutions to systems of partial differential equations
author Kopylov, A.P.
author_facet Kopylov, A.P.
publishDate 2004
language English
container_title Нелинейные граничные задачи
publisher Інститут прикладної математики і механіки НАН України
format Article
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.
issn 0236-0497
url https://nasplib.isofts.kiev.ua/handle/123456789/169176
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.
work_keys_str_mv AT kopylovap wqlregularityofsolutionstosystemsofpartialdifferentialequations
first_indexed 2025-11-30T13:44:27Z
last_indexed 2025-11-30T13:44:27Z
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