Limiting behavior of the solutions to linear second-order parabolic equations
Properties of solutions of parabolic equations in smooth cylindrical domains are studied. Conditions for existence of boundary non-tangents and $L_2$-limits as $t \rightarrow 0$ are found.
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| Datum: | 1993 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5896 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512116566392832 |
|---|---|
| author | Skrypnik, I. I. Скрипник, І. І. |
| author_facet | Skrypnik, I. I. Скрипник, І. І. |
| author_sort | Skrypnik, I. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:04Z |
| description | Properties of solutions of parabolic equations in smooth cylindrical domains are studied. Conditions for existence of boundary non-tangents and $L_2$-limits as $t \rightarrow 0$ are found. |
| first_indexed | 2026-03-24T03:23:40Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5896 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:23:40Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/bf/299b81b9e47a95f7f4b656f5e35744bf.pdf |
| spelling | umjimathkievua-article-58962020-03-19T09:20:04Z Limiting behavior of the solutions to linear second-order parabolic equations Граничное поведение решений линейных параболических уравнений второго порядка Skrypnik, I. I. Скрипник, І. І. Properties of solutions of parabolic equations in smooth cylindrical domains are studied. Conditions for existence of boundary non-tangents and $L_2$-limits as $t \rightarrow 0$ are found. Вивчаються властивості розв’язків параболічних рівнянь в гладких циліндричних областях. Встановлено умови існування граничних недотичних $L_2$-границь, якщо $t \rightarrow 0$. Institute of Mathematics, NAS of Ukraine 1993-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5896 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 7 (1993); 1029–1038 Український математичний журнал; Том 45 № 7 (1993); 1029–1038 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5896/8475 https://umj.imath.kiev.ua/index.php/umj/article/view/5896/8476 Copyright (c) 1993 Skrypnik I. I. |
| spellingShingle | Skrypnik, I. I. Скрипник, І. І. Limiting behavior of the solutions to linear second-order parabolic equations |
| title | Limiting behavior of the solutions to linear second-order parabolic equations |
| title_alt | Граничное поведение решений линейных параболических уравнений второго порядка |
| title_full | Limiting behavior of the solutions to linear second-order parabolic equations |
| title_fullStr | Limiting behavior of the solutions to linear second-order parabolic equations |
| title_full_unstemmed | Limiting behavior of the solutions to linear second-order parabolic equations |
| title_short | Limiting behavior of the solutions to linear second-order parabolic equations |
| title_sort | limiting behavior of the solutions to linear second-order parabolic equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5896 |
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