Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time
We consider the initial boundary-value Neumann problem for the equation of a porous medium in a domain with noncompact boundary. By using a symmetrization method, we obtain exactL p-estimates, 1≤p≤∞, for solutions as t→∞.
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| Datum: | 1995 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5398 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511627882790912 |
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| author | Bazalii, B. V. Tedeev, A. F. Базалий, Б. В. Тедеев, А. Ф. Базалий, Б. В. Тедеев, А. Ф. |
| author_facet | Bazalii, B. V. Tedeev, A. F. Базалий, Б. В. Тедеев, А. Ф. Базалий, Б. В. Тедеев, А. Ф. |
| author_sort | Bazalii, B. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:41Z |
| description | We consider the initial boundary-value Neumann problem for the equation of a porous medium in a domain with noncompact boundary. By using a symmetrization method, we obtain exactL p-estimates, 1≤p≤∞, for solutions as t→∞. |
| first_indexed | 2026-03-24T03:15:54Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5398 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:15:54Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/79/00cf6943203366c1c236709ea3487b79.pdf |
| spelling | umjimathkievua-article-53982020-03-19T08:58:41Z Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time Метод симметризации и оценки решений задачи Неймана при неограниченном возрастании времени для уравнения пористой среды в областях с некомпактной границей Bazalii, B. V. Tedeev, A. F. Базалий, Б. В. Тедеев, А. Ф. Базалий, Б. В. Тедеев, А. Ф. We consider the initial boundary-value Neumann problem for the equation of a porous medium in a domain with noncompact boundary. By using a symmetrization method, we obtain exactL p-estimates, 1≤p≤∞, for solutions as t→∞. Розглядається початково-крайова задача Неймана для рівняння пористого середовища в області з некомпактною межею. За допомогою методу симетрування одержані точні $L_p$-оцінки, $1 ≤ p ≤ ∞$, розв'язків при $t → ∞$. Institute of Mathematics, NAS of Ukraine 1995-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5398 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 2 (1995); 147–157 Український математичний журнал; Том 47 № 2 (1995); 147–157 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5398/7485 https://umj.imath.kiev.ua/index.php/umj/article/view/5398/7486 Copyright (c) 1995 Bazalii B. V.; Tedeev A. F. |
| spellingShingle | Bazalii, B. V. Tedeev, A. F. Базалий, Б. В. Тедеев, А. Ф. Базалий, Б. В. Тедеев, А. Ф. Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time |
| title | Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time |
| title_alt | Метод симметризации и оценки решений задачи Неймана
при неограниченном возрастании времени для уравнения пористой среды в областях с некомпактной границей |
| title_full | Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time |
| title_fullStr | Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time |
| title_full_unstemmed | Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time |
| title_short | Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time |
| title_sort | method for symmetrization and estimation of solutions of the neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5398 |
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