Elliptic boundary-value problems in complete scales of Nikol'skii-type spaces
We consider an elliptic boundary-value problem on an infinitely smooth manifold with, generally speaking, disconnected boundary. It is established that the operator of this problem is a Fredholm operator when considered in complete scales of functional spaces that depend on the parameters s ε ℝ,pε[1...
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5575 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511807785926656 |
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| author | Murach, A. A. Мурач, А. А. Мурач, А. А. |
| author_facet | Murach, A. A. Мурач, А. А. Мурач, А. А. |
| author_sort | Murach, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:13:51Z |
| description | We consider an elliptic boundary-value problem on an infinitely smooth manifold with, generally speaking, disconnected boundary. It is established that the operator of this problem is a Fredholm operator when considered in complete scales of functional spaces that depend on the parameters s ε ℝ,pε[1, ∞] and, for sufficiently large s≥0, coincide with the classical Nikol'skii spaces on a manifold. |
| first_indexed | 2026-03-24T03:18:46Z |
| format | Article |
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| id | umjimathkievua-article-5575 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:18:46Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/63/079abc1d12de6643c53fc9de5f00f963.pdf |
| spelling | umjimathkievua-article-55752020-03-19T09:13:51Z Elliptic boundary-value problems in complete scales of Nikol'skii-type spaces Эллиптические краевые задачи в полных шкалах пространств типа Никольского Murach, A. A. Мурач, А. А. Мурач, А. А. We consider an elliptic boundary-value problem on an infinitely smooth manifold with, generally speaking, disconnected boundary. It is established that the operator of this problem is a Fredholm operator when considered in complete scales of functional spaces that depend on the parameters s ε ℝ,pε[1, ∞] and, for sufficiently large s≥0, coincide with the classical Nikol'skii spaces on a manifold. Розглядається еліптична крайова задача на нескінченно гладкому многовиді з, взагалі кажучи, незв’язним краєм. Встановлено, що оператор такої задачі є нетеровим в повних шкалах функціональних просторів, які залежать від параметрів $s \in ℝ,\; p \in [1, ∞]$ та співпадають для достатньо великих $s ≥ 0$ з класичними просторами Нікольського на многовиді. Institute of Mathematics, NAS of Ukraine 1994-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5575 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 12 (1994); 1647–1654 Український математичний журнал; Том 46 № 12 (1994); 1647–1654 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5575/7836 https://umj.imath.kiev.ua/index.php/umj/article/view/5575/7837 Copyright (c) 1994 Murach A. A. |
| spellingShingle | Murach, A. A. Мурач, А. А. Мурач, А. А. Elliptic boundary-value problems in complete scales of Nikol'skii-type spaces |
| title | Elliptic boundary-value problems in complete scales of Nikol'skii-type spaces |
| title_alt | Эллиптические краевые задачи в полных шкалах пространств типа Никольского |
| title_full | Elliptic boundary-value problems in complete scales of Nikol'skii-type spaces |
| title_fullStr | Elliptic boundary-value problems in complete scales of Nikol'skii-type spaces |
| title_full_unstemmed | Elliptic boundary-value problems in complete scales of Nikol'skii-type spaces |
| title_short | Elliptic boundary-value problems in complete scales of Nikol'skii-type spaces |
| title_sort | elliptic boundary-value problems in complete scales of nikol'skii-type spaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5575 |
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