Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains
The asymptotic expansion of solutions to quasilinear parabolic problems with the Dirichlet boundary condilions is constructed in the regions with a fine-grain boundary. It is shown that the sequence of the remainders of the expansion strongly converges to zero in the space $W^{1,1/2}_2$.
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| Datum: | 1993 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1993
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5961 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512186113196032 |
|---|---|
| author | Skrypnik, I. V. Скрыпник, И. В. Скрыпник, И. В. |
| author_facet | Skrypnik, I. V. Скрыпник, И. В. Скрыпник, И. В. |
| author_sort | Skrypnik, I. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:21:58Z |
| description | The asymptotic expansion of solutions to quasilinear parabolic problems with the Dirichlet boundary condilions is constructed in the regions with a fine-grain boundary.
It is shown that the sequence of the remainders of the expansion strongly converges to zero in the space $W^{1,1/2}_2$. |
| first_indexed | 2026-03-24T03:24:47Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5961 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:24:47Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d2/b6aef0862987737137e89c43ad98e1d2.pdf |
| spelling | umjimathkievua-article-59612020-03-19T09:21:58Z Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains Асимптотическое разложение решений квазилинейных параболических задач в перфорированных областях Skrypnik, I. V. Скрыпник, И. В. Скрыпник, И. В. The asymptotic expansion of solutions to quasilinear parabolic problems with the Dirichlet boundary condilions is constructed in the regions with a fine-grain boundary. It is shown that the sequence of the remainders of the expansion strongly converges to zero in the space $W^{1,1/2}_2$. Будується асимптотичний розклад розв'язків квазілінійних параболічних задач з граничною умовою Діріхле в областях з дрібнозернистою межею. Доводиться сильна збіжність до нуля послідовності залишкових членів розкладу у просторі $W^{1,1/2}_2$. Institute of Mathematics, NAS of Ukraine 1993-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5961 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 11 (1993); 1542–1566 Український математичний журнал; Том 45 № 11 (1993); 1542–1566 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5961/8605 https://umj.imath.kiev.ua/index.php/umj/article/view/5961/8606 Copyright (c) 1993 Skrypnik I. V. |
| spellingShingle | Skrypnik, I. V. Скрыпник, И. В. Скрыпник, И. В. Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains |
| title | Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains |
| title_alt | Асимптотическое разложение решений квазилинейных параболических задач в перфорированных областях |
| title_full | Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains |
| title_fullStr | Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains |
| title_full_unstemmed | Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains |
| title_short | Asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains |
| title_sort | asymptotic expansion of solutions of quasilinear parabolic problems in perforated domains |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5961 |
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