Problem with free boundary for the systems of equations of reaction-diffusion type
We consider a problem with free boundary for systems of quasilinear parabolic equations. A part of the boundary conditions are given in the nonlocal form. The a priori estimates of the H¨older norms are established. These estimates are used to prove the existence and uniqueness of the solution.
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| Datum: | 2017 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2017
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1812 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860507674999783424 |
|---|---|
| author | Rasulov, M. S. Takhirov, Zh. O. Расулов, М. С. Тахиров, Ж. О. Расулов, М. С. Тахиров, Ж. О. |
| author_facet | Rasulov, M. S. Takhirov, Zh. O. Расулов, М. С. Тахиров, Ж. О. Расулов, М. С. Тахиров, Ж. О. |
| author_sort | Rasulov, M. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2019-12-05T09:28:05Z |
| description | We consider a problem with free boundary for systems of quasilinear parabolic equations. A part of the boundary conditions
are given in the nonlocal form. The a priori estimates of the H¨older norms are established. These estimates are used to
prove the existence and uniqueness of the solution. |
| first_indexed | 2026-03-24T02:13:04Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-1812 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T02:13:04Z |
| publishDate | 2017 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/12/97cd2186b16caac7866833424ce4e812 |
| spelling | umjimathkievua-article-18122019-12-05T09:28:05Z Problem with free boundary for the systems of equations of reaction-diffusion type Задача со свободной границей для систем уравнений типа реакция-диффузия Rasulov, M. S. Takhirov, Zh. O. Расулов, М. С. Тахиров, Ж. О. Расулов, М. С. Тахиров, Ж. О. We consider a problem with free boundary for systems of quasilinear parabolic equations. A part of the boundary conditions are given in the nonlocal form. The a priori estimates of the H¨older norms are established. These estimates are used to prove the existence and uniqueness of the solution. Розглядається задача з вiльною межею для систем квазiлiнiйних параболiчних рiвнянь. Частину граничних умов задано в нелокальнiй формi. Встановлено апрiорнi оцiнки норм Гельдера. На основi цих оцiнок доведено iснування та єдинiсть розв’язку. Institute of Mathematics, NAS of Ukraine 2017-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1812 Ukrains’kyi Matematychnyi Zhurnal; Vol. 69 No. 12 (2017); 1690-1700 Український математичний журнал; Том 69 № 12 (2017); 1690-1700 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/1812/794 Copyright (c) 2017 Rasulov M. S.; Takhirov Zh. O. |
| spellingShingle | Rasulov, M. S. Takhirov, Zh. O. Расулов, М. С. Тахиров, Ж. О. Расулов, М. С. Тахиров, Ж. О. Problem with free boundary for the systems of equations of reaction-diffusion type |
| title | Problem with free boundary for the systems of equations
of reaction-diffusion type |
| title_alt | Задача со свободной границей для систем уравнений типа
реакция-диффузия |
| title_full | Problem with free boundary for the systems of equations
of reaction-diffusion type |
| title_fullStr | Problem with free boundary for the systems of equations
of reaction-diffusion type |
| title_full_unstemmed | Problem with free boundary for the systems of equations
of reaction-diffusion type |
| title_short | Problem with free boundary for the systems of equations
of reaction-diffusion type |
| title_sort | problem with free boundary for the systems of equations
of reaction-diffusion type |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1812 |
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