On the Convergence of Certain Numerical Characteristics of Variational Dirichlet Problems in Variable Domains
We prove two theorems that enable one to reduce the problem of convergence of general characteristics of variational Dirichlet problems in variable domains to the problem of convergence of simpler characteristics of these problems. We describe the case where the convergence of simpler characteristic...
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| Datum: | 2000 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4556 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510703600795648 |
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| author | Kovalevskii, A. A. Ковалевський, О. А. |
| author_facet | Kovalevskii, A. A. Ковалевський, О. А. |
| author_sort | Kovalevskii, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:31:24Z |
| description | We prove two theorems that enable one to reduce the problem of convergence of general characteristics of variational Dirichlet problems in variable domains to the problem of convergence of simpler characteristics of these problems. We describe the case where the convergence of simpler characteristics takes place. |
| first_indexed | 2026-03-24T03:01:13Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4556 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:01:13Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e7/5901d7124e675cfbb584f113fe2929e7.pdf |
| spelling | umjimathkievua-article-45562020-03-18T20:31:24Z On the Convergence of Certain Numerical Characteristics of Variational Dirichlet Problems in Variable Domains О сходимости некоторых числовых характеристик вариационных задач Дирихле в переменных областях Kovalevskii, A. A. Ковалевський, О. А. We prove two theorems that enable one to reduce the problem of convergence of general characteristics of variational Dirichlet problems in variable domains to the problem of convergence of simpler characteristics of these problems. We describe the case where the convergence of simpler characteristics takes place. Доведено дві теореми, що дозволяють зводити питання про збіжність загальних характеристик варіаційних задач Діріхле в змінних областях до питання збіжності більш простих характеристик цих задач. Описано ситуацію, в якій збіжність більш простих характеристик має місце. Institute of Mathematics, NAS of Ukraine 2000-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4556 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 11 (2000); 1497-1512 Український математичний журнал; Том 52 № 11 (2000); 1497-1512 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4556/5816 https://umj.imath.kiev.ua/index.php/umj/article/view/4556/5817 Copyright (c) 2000 Kovalevskii A. A. |
| spellingShingle | Kovalevskii, A. A. Ковалевський, О. А. On the Convergence of Certain Numerical Characteristics of Variational Dirichlet Problems in Variable Domains |
| title | On the Convergence of Certain Numerical Characteristics of Variational Dirichlet Problems in Variable Domains |
| title_alt | О сходимости некоторых числовых характеристик вариационных
задач Дирихле в переменных областях |
| title_full | On the Convergence of Certain Numerical Characteristics of Variational Dirichlet Problems in Variable Domains |
| title_fullStr | On the Convergence of Certain Numerical Characteristics of Variational Dirichlet Problems in Variable Domains |
| title_full_unstemmed | On the Convergence of Certain Numerical Characteristics of Variational Dirichlet Problems in Variable Domains |
| title_short | On the Convergence of Certain Numerical Characteristics of Variational Dirichlet Problems in Variable Domains |
| title_sort | on the convergence of certain numerical characteristics of variational dirichlet problems in variable domains |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4556 |
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