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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Бібліографічні деталі
Дата:2004
Автор: Kopylov, A.P.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2004
Назва видання:Нелинейные граничные задачи
Онлайн доступ:http://dspace.nbuv.gov.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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-169176
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spelling irk-123456789-1691762020-06-08T01:26:03Z Wqˡ-regularity of solutions to systems of partial differential equations Kopylov, A.P. 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. 2004 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/169176 en Нелинейные граничные задачи Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Kopylov, A.P.
spellingShingle Kopylov, A.P.
Wqˡ-regularity of solutions to systems of partial differential equations
Нелинейные граничные задачи
author_facet Kopylov, A.P.
author_sort Kopylov, A.P.
title Wqˡ-regularity of solutions to systems of partial differential equations
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
publisher Інститут прикладної математики і механіки НАН України
publishDate 2004
url http://dspace.nbuv.gov.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.
series Нелинейные граничные задачи
work_keys_str_mv AT kopylovap wqlregularityofsolutionstosystemsofpartialdifferentialequations
first_indexed 2023-10-18T22:24:36Z
last_indexed 2023-10-18T22:24:36Z
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