On regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation
Unlike the case of elliptic differential equations, generalized solutions of elliptic difference-differential equations may be not smooth in a domainQ but remain smooth only in certain subdomainsQ r ⊂Q Conditions are considered which are necessary and sufficient for generalized solutions of the thi...
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| Date: | 1995 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5386 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511618519007232 |
|---|---|
| author | Tsvetkov, E. L. Цветков, Е. Л. Цветков, Е. Л. |
| author_facet | Tsvetkov, E. L. Цветков, Е. Л. Цветков, Е. Л. |
| author_sort | Tsvetkov, E. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:17Z |
| description | Unlike the case of elliptic differential equations, generalized solutions of elliptic difference-differential equations may be not smooth in a domainQ but remain smooth only in certain subdomainsQ r ⊂Q Conditions are considered which are necessary and sufficient for generalized solutions of the third boundary-value problem to preserve smoothness on the boundary of adjacent subdomainsQ r . |
| first_indexed | 2026-03-24T03:15:45Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5386 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:15:45Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e5/5936540808d4e56b0aea14ee068540e5.pdf |
| spelling | umjimathkievua-article-53862020-03-19T08:58:17Z On regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation О регулярности обобщенных решений третьей краевой задачи для эллиптического дифференциально-разностного уравнения Tsvetkov, E. L. Цветков, Е. Л. Цветков, Е. Л. Unlike the case of elliptic differential equations, generalized solutions of elliptic difference-differential equations may be not smooth in a domainQ but remain smooth only in certain subdomainsQ r ⊂Q Conditions are considered which are necessary and sufficient for generalized solutions of the third boundary-value problem to preserve smoothness on the boundary of adjacent subdomainsQ r . На відміну від еліптичних диференціальних рівнянь гладкість узагальнених розв'язків еліптичних диференціально-різницевих рівнянь може порушуватися в ділянці $Q$ і зберігатися лише в деяких підділянках $Q_r ⊂ Q$. Розглядаються умови збереження гладкості узагальнених розв'язків третьої крайової задачі на межі суміжних підділянок $Q_r$. Institute of Mathematics, NAS of Ukraine 1995-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5386 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 1 (1995); 93–104 Український математичний журнал; Том 47 № 1 (1995); 93–104 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5386/7463 https://umj.imath.kiev.ua/index.php/umj/article/view/5386/7464 Copyright (c) 1995 Tsvetkov E. L. |
| spellingShingle | Tsvetkov, E. L. Цветков, Е. Л. Цветков, Е. Л. On regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation |
| title | On regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation |
| title_alt | О регулярности обобщенных решений третьей краевой задачи для эллиптического дифференциально-разностного уравнения |
| title_full | On regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation |
| title_fullStr | On regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation |
| title_full_unstemmed | On regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation |
| title_short | On regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation |
| title_sort | on regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5386 |
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