Bernstein inequality under averaging of elliptic systems in periodic random media
We construct the exponential Bernstein inequality for normed fluctuations of a solution of the Dirichlet problem with rapidly oscillating periodic random coefficients with respect to a solution of the averaged Dirichlet problem.
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| Datum: | 1996 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5186 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511393158004736 |
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| author | Bondarev, B. V. Korolev, M. E. Бондарев, Б. В. Королев, М. Е. Бондарев, Б. В. Королев, М. Е. |
| author_facet | Bondarev, B. V. Korolev, M. E. Бондарев, Б. В. Королев, М. Е. Бондарев, Б. В. Королев, М. Е. |
| author_sort | Bondarev, B. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:26:41Z |
| description | We construct the exponential Bernstein inequality for normed fluctuations of a solution of the Dirichlet problem with rapidly oscillating periodic random coefficients with respect to a solution of the averaged Dirichlet problem. |
| first_indexed | 2026-03-24T03:12:10Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5186 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:12:10Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/26/1e511f8838f2d97632574fe13c30f326.pdf |
| spelling | umjimathkievua-article-51862020-03-18T21:26:41Z Bernstein inequality under averaging of elliptic systems in periodic random media Неравенство С. Н. Бернштейна при усреднении эллиптических систем в периодических случайных средах Bondarev, B. V. Korolev, M. E. Бондарев, Б. В. Королев, М. Е. Бондарев, Б. В. Королев, М. Е. We construct the exponential Bernstein inequality for normed fluctuations of a solution of the Dirichlet problem with rapidly oscillating periodic random coefficients with respect to a solution of the averaged Dirichlet problem. Побудована експоненціальна нерівність С. Н. Бернштейна для нормованих флуктуацій розв'язку задачі Діріхле з швидкоосцилюючими періодичними випадковими коефіцієнтами відносно розв'язку усередненої задачі Діріхле. Institute of Mathematics, NAS of Ukraine 1996-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5186 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 12 (1996); 1638-1650 Український математичний журнал; Том 48 № 12 (1996); 1638-1650 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5186/7067 https://umj.imath.kiev.ua/index.php/umj/article/view/5186/7068 Copyright (c) 1996 Bondarev B. V.; Korolev M. E. |
| spellingShingle | Bondarev, B. V. Korolev, M. E. Бондарев, Б. В. Королев, М. Е. Бондарев, Б. В. Королев, М. Е. Bernstein inequality under averaging of elliptic systems in periodic random media |
| title | Bernstein inequality under averaging of elliptic systems in periodic random media |
| title_alt | Неравенство С. Н. Бернштейна при усреднении эллиптических систем в периодических случайных средах |
| title_full | Bernstein inequality under averaging of elliptic systems in periodic random media |
| title_fullStr | Bernstein inequality under averaging of elliptic systems in periodic random media |
| title_full_unstemmed | Bernstein inequality under averaging of elliptic systems in periodic random media |
| title_short | Bernstein inequality under averaging of elliptic systems in periodic random media |
| title_sort | bernstein inequality under averaging of elliptic systems in periodic random media |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5186 |
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