Uniform approximation of solutions of nonlinear parabolic problems in perforated domains
We investigate the behavior of a remainder of an asymptotic expansion for solutions of a quasi-linear parabolic Cauchy-Dirichlet problem in a sequence of domains with fine-grained boundary. By using a modification of an asymptotic expansion and new pointwise estimates for a solution of a model probl...
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| Date: | 2004 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3838 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509970691260416 |
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| author | Zhuravskaya, A. V. Skrypnik, I. V. Журавская, А. В. Скрыпник, И. В. Журавская, А. В. Скрыпник, И. В. |
| author_facet | Zhuravskaya, A. V. Skrypnik, I. V. Журавская, А. В. Скрыпник, И. В. Журавская, А. В. Скрыпник, И. В. |
| author_sort | Zhuravskaya, A. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:12:11Z |
| description | We investigate the behavior of a remainder of an asymptotic expansion for solutions of a quasi-linear parabolic Cauchy-Dirichlet problem in a sequence of domains with fine-grained boundary. By using a modification of an asymptotic expansion and new pointwise estimates for a solution of a model problem, we prove the uniform convergence of the remainder to zero. |
| first_indexed | 2026-03-24T02:49:34Z |
| format | Article |
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| id | umjimathkievua-article-3838 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:49:34Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fb/f447fbb6a1e287f50d5baa5f6e4ca5fb.pdf |
| spelling | umjimathkievua-article-38382020-03-18T20:12:11Z Uniform approximation of solutions of nonlinear parabolic problems in perforated domains Равномерная аппроксимация решений нелинейных параболических задач в перфорированных областях Zhuravskaya, A. V. Skrypnik, I. V. Журавская, А. В. Скрыпник, И. В. Журавская, А. В. Скрыпник, И. В. We investigate the behavior of a remainder of an asymptotic expansion for solutions of a quasi-linear parabolic Cauchy-Dirichlet problem in a sequence of domains with fine-grained boundary. By using a modification of an asymptotic expansion and new pointwise estimates for a solution of a model problem, we prove the uniform convergence of the remainder to zero. Досліджено поведінку залишкового члена асимптотичного розкладу для розв'язків квазілінійної параболічної задачі Коші — Діріхле в послідовності областей з дрібнозернистою межею. На підставі модифікації побудови асимптотичного розкладу та нових поточкових оцінок розв'язку модельної задачі доведено рівномірну збіжність залишкового члена до нуля. Institute of Mathematics, NAS of Ukraine 2004-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3838 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 9 (2004); 1244-1258 Український математичний журнал; Том 56 № 9 (2004); 1244-1258 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3838/4395 https://umj.imath.kiev.ua/index.php/umj/article/view/3838/4396 Copyright (c) 2004 Zhuravskaya A. V.; Skrypnik I. V. |
| spellingShingle | Zhuravskaya, A. V. Skrypnik, I. V. Журавская, А. В. Скрыпник, И. В. Журавская, А. В. Скрыпник, И. В. Uniform approximation of solutions of nonlinear parabolic problems in perforated domains |
| title | Uniform approximation of solutions of nonlinear parabolic problems in perforated domains |
| title_alt | Равномерная аппроксимация решений нелинейных
параболических задач в перфорированных областях |
| title_full | Uniform approximation of solutions of nonlinear parabolic problems in perforated domains |
| title_fullStr | Uniform approximation of solutions of nonlinear parabolic problems in perforated domains |
| title_full_unstemmed | Uniform approximation of solutions of nonlinear parabolic problems in perforated domains |
| title_short | Uniform approximation of solutions of nonlinear parabolic problems in perforated domains |
| title_sort | uniform approximation of solutions of nonlinear parabolic problems in perforated domains |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3838 |
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