On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable
We consider the first initial boundary-value problem for strongly parabolic systems in an infinite cylinder with nonsmooth boundary. We establish conditions for the existence of generalized solutions, an estimate for this solutions, and an estimate for the derivative of the solution.
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| Datum: | 2004 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3729 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509860775329792 |
|---|---|
| author | Nguyen, Manh Hung Pham, Trieu Duong Нгуєн, Мань Хунг Фам, Трье Даонг |
| author_facet | Nguyen, Manh Hung Pham, Trieu Duong Нгуєн, Мань Хунг Фам, Трье Даонг |
| author_sort | Nguyen, Manh Hung |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:05:58Z |
| description | We consider the first initial boundary-value problem for strongly parabolic systems in an infinite cylinder with nonsmooth boundary. We establish conditions for the existence of generalized solutions, an estimate for this solutions, and an estimate for the derivative of the solution. |
| first_indexed | 2026-03-24T02:47:49Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3729 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:47:49Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/84/2d001f4be383393fd4165e7a5a6c6484.pdf |
| spelling | umjimathkievua-article-37292020-03-18T20:05:58Z On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable Про гладкість відносно часової змінної узагальненого розв'язку першої початкової крайової задачі для сильно параболічних систем на циліндрі з негладкою основою Nguyen, Manh Hung Pham, Trieu Duong Нгуєн, Мань Хунг Фам, Трье Даонг We consider the first initial boundary-value problem for strongly parabolic systems in an infinite cylinder with nonsmooth boundary. We establish conditions for the existence of generalized solutions, an estimate for this solutions, and an estimate for the derivative of the solution. Досліджується перша початкова крайопа задача для сильно параболічних систем Ііа нескінченному циліндрі з негладкою межею. Встановлено умови існування узагальненого розв'язку та його оцінку, а також оцінку похідної розв'язку. Institute of Mathematics, NAS of Ukraine 2004-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3729 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 1 (2004); 78-87 Український математичний журнал; Том 56 № 1 (2004); 78-87 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/3729/4182 https://umj.imath.kiev.ua/index.php/umj/article/view/3729/4183 Copyright (c) 2004 Nguyen Manh Hung; Pham Trieu Duong |
| spellingShingle | Nguyen, Manh Hung Pham, Trieu Duong Нгуєн, Мань Хунг Фам, Трье Даонг On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable |
| title | On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable |
| title_alt | Про гладкість відносно часової змінної
узагальненого розв'язку першої початкової
крайової задачі для сильно параболічних
систем на циліндрі з негладкою основою |
| title_full | On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable |
| title_fullStr | On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable |
| title_full_unstemmed | On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable |
| title_short | On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable |
| title_sort | on the smoothness of a generalized solution of the first initial boundary-value problem for strongly parabolic systems in a cylinder with nonsmooth base with respect to time variable |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3729 |
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