Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order
Global well-posedness in a class of weak solutions is established to one initial-boundary value problem with three boundary conditions for a wide class of quasilinear dispersive evolution equations of the third order in the multidimensional case. The considered class of equations generalizes the Kor...
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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2008 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/124298 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order / A.V. Faminskii, I.Yu. Bashlykova // Український математичний вісник. — 2008. — Т. 5, № 1. — С. 83-98. — Бібліогр.: 16 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862669743123595264 |
|---|---|
| author | Faminskii, A.V. Bashlykova, I.Yu. |
| author_facet | Faminskii, A.V. Bashlykova, I.Yu. |
| citation_txt | Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order / A.V. Faminskii, I.Yu. Bashlykova // Український математичний вісник. — 2008. — Т. 5, № 1. — С. 83-98. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | Global well-posedness in a class of weak solutions is established to one initial-boundary value problem with three boundary conditions for a wide class of quasilinear dispersive evolution equations of the third order in the multidimensional case. The considered class of equations generalizes the Korteweg–de Vries, the Korteweg–de Vries–Burgers and the Zakharov–Kuznetsov equations.
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| first_indexed | 2025-12-07T15:28:44Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124298 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | Russian |
| last_indexed | 2025-12-07T15:28:44Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Faminskii, A.V. Bashlykova, I.Yu. 2017-09-23T16:51:12Z 2017-09-23T16:51:12Z 2008 Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order / A.V. Faminskii, I.Yu. Bashlykova // Український математичний вісник. — 2008. — Т. 5, № 1. — С. 83-98. — Бібліогр.: 16 назв. — англ. 1810-3200 2000 MSC. 35Q53, 35M20. https://nasplib.isofts.kiev.ua/handle/123456789/124298 Global well-posedness in a class of weak solutions is established to one initial-boundary value problem with three boundary conditions for a wide class of quasilinear dispersive evolution equations of the third order in the multidimensional case. The considered class of equations generalizes the Korteweg–de Vries, the Korteweg–de Vries–Burgers and the Zakharov–Kuznetsov equations. The work was supported by RFBR grant 06-01-00253 ru Інститут прикладної математики і механіки НАН України Український математичний вісник Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order Article published earlier |
| spellingShingle | Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order Faminskii, A.V. Bashlykova, I.Yu. |
| title | Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order |
| title_full | Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order |
| title_fullStr | Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order |
| title_full_unstemmed | Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order |
| title_short | Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order |
| title_sort | weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124298 |
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