On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations
We consider the first initial boundary-value problem for a strongly parabolic system on an infinite cylinder with nonsmooth boundary. We prove some results on the existence, uniqueness, and asymptotic behavior of solutions as t → ∞.
Збережено в:
| Дата: | 2003 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2003
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/3988 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510119877410816 |
|---|---|
| author | Nguyen, Manh Hung Tran, Thi Loan Нгуєн, Мань Хунг Тран, Тхі Лоан |
| author_facet | Nguyen, Manh Hung Tran, Thi Loan Нгуєн, Мань Хунг Тран, Тхі Лоан |
| author_sort | Nguyen, Manh Hung |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:17:34Z |
| description | We consider the first initial boundary-value problem for a strongly parabolic system on an infinite cylinder with nonsmooth boundary. We prove some results on the existence, uniqueness, and asymptotic behavior of solutions as t → ∞. |
| first_indexed | 2026-03-24T02:51:56Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3988 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:51:56Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/29/6932ba6745c72d5151c51f76384f8629.pdf |
| spelling | umjimathkievua-article-39882020-03-18T20:17:34Z On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations Про асимптотичну поведінку розв'язків перших початкових крайових задач для параболічних рівнянь Nguyen, Manh Hung Tran, Thi Loan Нгуєн, Мань Хунг Тран, Тхі Лоан We consider the first initial boundary-value problem for a strongly parabolic system on an infinite cylinder with nonsmooth boundary. We prove some results on the existence, uniqueness, and asymptotic behavior of solutions as t → ∞. Розглянуто першу початкову крайову задачу для сильно параболічної системи на некінченному циліндрі із негладкою межею. Доведено деякі результати про існування, єдиність та асимптотичну поведінку розв'язків при t → ∞. Institute of Mathematics, NAS of Ukraine 2003-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3988 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 8 (2003); 1143-1152 Український математичний журнал; Том 55 № 8 (2003); 1143-1152 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/3988/4688 https://umj.imath.kiev.ua/index.php/umj/article/view/3988/4689 Copyright (c) 2003 Nguyen Manh Hung; Tran Thi Loan |
| spellingShingle | Nguyen, Manh Hung Tran, Thi Loan Нгуєн, Мань Хунг Тран, Тхі Лоан On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations |
| title | On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations |
| title_alt | Про асимптотичну поведінку розв'язків перших початкових крайових задач для параболічних рівнянь |
| title_full | On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations |
| title_fullStr | On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations |
| title_full_unstemmed | On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations |
| title_short | On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations |
| title_sort | on the asymptotic behavior of solutions of the first initial boundary-value problems for parabolic equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3988 |
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