Nonlocal two-point boundary-value problems in a layer with differential operators in the boundary condition
We obtain criteria of well-posedness and strong well-posedness (smoothing of solutions as compared with given functions) of boundary-value problems for linear partial differential evolution equations in an infinite layer. The boundary condition is nonlocal and gives a relation between the values of...
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| Datum: | 1995 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5508 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511740322643968 |
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| author | Fardigola, L. V. Фардигола, Л. В. Фардигола, Л. В. |
| author_facet | Fardigola, L. V. Фардигола, Л. В. Фардигола, Л. В. |
| author_sort | Fardigola, L. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:12:10Z |
| description | We obtain criteria of well-posedness and strong well-posedness (smoothing of solutions as compared with given functions) of boundary-value problems for linear partial differential evolution equations in an infinite layer. The boundary condition is nonlocal and gives a relation between the values of the unknown function and its derivatives with respect to spatial coordinates on shifts of connected components of the boundary of the layer inside the layer. |
| first_indexed | 2026-03-24T03:17:42Z |
| format | Article |
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| id | umjimathkievua-article-5508 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:17:42Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/91/6ef548033f9913747626cc2ffbcca691.pdf |
| spelling | umjimathkievua-article-55082020-03-19T09:12:10Z Nonlocal two-point boundary-value problems in a layer with differential operators in the boundary condition Нелокальные двухточечные краевые задачи в слое с дифференциальными операторами в краевом условии Fardigola, L. V. Фардигола, Л. В. Фардигола, Л. В. We obtain criteria of well-posedness and strong well-posedness (smoothing of solutions as compared with given functions) of boundary-value problems for linear partial differential evolution equations in an infinite layer. The boundary condition is nonlocal and gives a relation between the values of the unknown function and its derivatives with respect to spatial coordinates on shifts of connected components of the boundary of the layer inside the layer. Одержано критерії коректності та сильної коректності (згладжування розв'язків порівняно до заданих функцій) крайових задач у нескінченному шарі для лінійних еволюційних диференціальних рівнянь з частинними похідними. Крайова умова є нелокальною і зв'язує значення шуканої функції та її похідних відносно просторових змінних на зсувах всередину шару компонент зв'язності його межі. Institute of Mathematics, NAS of Ukraine 1995-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5508 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 8 (1995); 1122–1128 Український математичний журнал; Том 47 № 8 (1995); 1122–1128 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5508/7704 https://umj.imath.kiev.ua/index.php/umj/article/view/5508/7705 Copyright (c) 1995 Fardigola L. V. |
| spellingShingle | Fardigola, L. V. Фардигола, Л. В. Фардигола, Л. В. Nonlocal two-point boundary-value problems in a layer with differential operators in the boundary condition |
| title | Nonlocal two-point boundary-value problems in a layer with differential operators in the boundary condition |
| title_alt | Нелокальные двухточечные краевые задачи в слое с дифференциальными операторами в краевом условии |
| title_full | Nonlocal two-point boundary-value problems in a layer with differential operators in the boundary condition |
| title_fullStr | Nonlocal two-point boundary-value problems in a layer with differential operators in the boundary condition |
| title_full_unstemmed | Nonlocal two-point boundary-value problems in a layer with differential operators in the boundary condition |
| title_short | Nonlocal two-point boundary-value problems in a layer with differential operators in the boundary condition |
| title_sort | nonlocal two-point boundary-value problems in a layer with differential operators in the boundary condition |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5508 |
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