Stefan problem for the laplace equation with regard for the curvature of the free boundary
We consider a nonstationary problem with free boundary for an elliptic equation in the case where the value of the required function on an unknown boundary is proportional to the curvature of this boundary. We prove the existence of a solution in the small with respect to time in the spaces of smoot...
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| Datum: | 1997 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5128 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511326831378432 |
|---|---|
| author | Bazalii, B. V. Базалий, Б. В. Базалий, Б. В. |
| author_facet | Bazalii, B. V. Базалий, Б. В. Базалий, Б. В. |
| author_sort | Bazalii, B. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:25:28Z |
| description | We consider a nonstationary problem with free boundary for an elliptic equation in the case where the value of the required function on an unknown boundary is proportional to the curvature of this boundary. We prove the existence of a solution in the small with respect to time in the spaces of smooth functions. |
| first_indexed | 2026-03-24T03:11:07Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5128 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:11:07Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/8b/fcbf611223c7a75bfdfba8881a09d18b.pdf |
| spelling | umjimathkievua-article-51282020-03-18T21:25:28Z Stefan problem for the laplace equation with regard for the curvature of the free boundary Задача Стефана для уравнения Лапласа с учетом кривизны свободной границы Bazalii, B. V. Базалий, Б. В. Базалий, Б. В. We consider a nonstationary problem with free boundary for an elliptic equation in the case where the value of the required function on an unknown boundary is proportional to the curvature of this boundary. We prove the existence of a solution in the small with respect to time in the spaces of smooth functions. Розглядається нестаціонарна задача з вільною межею для еліптичного рівняння, в якій значення шуканої функції на невідомій межі пропорційне кривині цій межі. Доведено існування розв'язку в малому за часом у просторах гладких функцій Institute of Mathematics, NAS of Ukraine 1997-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5128 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 10 (1997); 1299–1315 Український математичний журнал; Том 49 № 10 (1997); 1299–1315 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5128/6952 https://umj.imath.kiev.ua/index.php/umj/article/view/5128/6953 Copyright (c) 1997 Bazalii B. V. |
| spellingShingle | Bazalii, B. V. Базалий, Б. В. Базалий, Б. В. Stefan problem for the laplace equation with regard for the curvature of the free boundary |
| title | Stefan problem for the laplace equation with regard for the curvature of the free boundary |
| title_alt | Задача Стефана для уравнения Лапласа с учетом кривизны свободной границы |
| title_full | Stefan problem for the laplace equation with regard for the curvature of the free boundary |
| title_fullStr | Stefan problem for the laplace equation with regard for the curvature of the free boundary |
| title_full_unstemmed | Stefan problem for the laplace equation with regard for the curvature of the free boundary |
| title_short | Stefan problem for the laplace equation with regard for the curvature of the free boundary |
| title_sort | stefan problem for the laplace equation with regard for the curvature of the free boundary |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5128 |
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