Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations
Lower bounds are obtained for solutions of the initial–boundary Dirichlet problem for high order equations. Sharp bounds are also obtained for $ess sup|\nabla u(x,t)|$ of the Neumann initial–boundary problem for a second order equation in $D=\Omega \times (t>0)$, where $\Omega \subset R^n...
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| Дата: | 1992 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1992
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8243 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512999002865664 |
|---|---|
| author | Tedeev, A. F. Тедеев, А. Ф. |
| author_facet | Tedeev, A. F. Тедеев, А. Ф. |
| author_sort | Tedeev, A. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:23Z |
| description | Lower bounds are obtained for solutions of the initial–boundary Dirichlet problem for high order equations. Sharp bounds are also obtained for $ess sup|\nabla u(x,t)|$ of the Neumann initial–boundary problem for a second order equation in $D=\Omega \times (t>0)$, where $\Omega \subset R^n$, $n\geq 2$ is a domain with noncompact convex boundary. |
| first_indexed | 2026-03-24T03:37:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8243 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:42Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/56/3eaf5517152b1f2e1243d1e4575f7456.pdf |
| spelling | umjimathkievua-article-82432024-03-27T09:55:23Z Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations Стабилизация решений начально–краевых задач для квазилинейных параболических уравнений Tedeev, A. F. Тедеев, А. Ф. Lower bounds are obtained for solutions of the initial–boundary Dirichlet problem for high order equations. Sharp bounds are also obtained for $ess sup|\nabla u(x,t)|$ of the Neumann initial–boundary problem for a second order equation in $D=\Omega \times (t>0)$, where $\Omega \subset R^n$, $n\geq 2$ is a domain with noncompact convex boundary. Для решения начально–краевой задачи Дирихле уравнения высокого порядка получены оценки снизу. Получены также точные оценки $ess sup|\nabla u(x,t)|$ начально–краевой задачи Неймана для уравнения второго порядка в $D=\Omega \times (t>0)$, где $\Omega \subset R^n$, $n\geq 2$, – область с некомпактной выпуклой границей. Для розв’язку початково–крайової задачі Діріхле рівняння високого порядку одержані оцінки знизу. Одержані також точні оцінки $ess sup|\nabla u(x,t)|$ початково–крайової задачі Неймана для рівняння другого порядку в $D=\Omega \times (t>0)$, де $\Omega \subset R^n$, $n\geq 2$, – область з некомпактною опуклою межею. Institute of Mathematics, NAS of Ukraine 1992-10-01 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8243 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 10 (1992); 1441-1450 Український математичний журнал; Том 44 № 10 (1992); 1441-1450 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8243/9823 Copyright (c) 1992 A. F. Tedeev |
| spellingShingle | Tedeev, A. F. Тедеев, А. Ф. Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations |
| title | Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations |
| title_alt | Стабилизация решений начально–краевых задач для квазилинейных параболических уравнений |
| title_full | Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations |
| title_fullStr | Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations |
| title_full_unstemmed | Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations |
| title_short | Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations |
| title_sort | stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8243 |
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