Boundary values of solutions to linear second order parabolic equations
The local properties of the solutions of parabolic equations are investigated in domains whose boundaries are defined by the difference of two convex functions. Conditions for the existence of nontangential boundary and $L_2$ limits are established.
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8242 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512998521569280 |
|---|---|
| author | Skrypnik, I. I. Скрыпник, И. И. |
| author_facet | Skrypnik, I. I. Скрыпник, И. И. |
| author_sort | Skrypnik, I. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:23Z |
| description | The local properties of the solutions of parabolic equations are investigated in domains whose boundaries are defined by the difference of two convex functions. Conditions for the existence of nontangential boundary and $L_2$ limits are established. |
| first_indexed | 2026-03-24T03:37:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8242 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:42Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ea/f600989ae287003c309a416b7f445eea.pdf |
| spelling | umjimathkievua-article-82422024-03-27T09:55:23Z Boundary values of solutions to linear second order parabolic equations Граничные значения решений линейных параболических уравнений второго порядка Skrypnik, I. I. Скрыпник, И. И. The local properties of the solutions of parabolic equations are investigated in domains whose boundaries are defined by the difference of two convex functions. Conditions for the existence of nontangential boundary and $L_2$ limits are established. Изучаются локальные свойства решений параболических уравнений в областях, граница которых определяется разностью двух выпуклых функций. Установлены условия существования граничных некасательных и $L_2$–пределов. Вивчаються локальні властивості розв’язків параболічних рівнянь в областях, границя яких визначається різницею двох опуклих функцій. Встановлено умови існування граничних недотичних та $L_2$–границь.   Institute of Mathematics, NAS of Ukraine 1992-10-01 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8242 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 10 (1992); 1433-1440 Український математичний журнал; Том 44 № 10 (1992); 1433-1440 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8242/9822 Copyright (c) 1992 I. I. Skrypnik |
| spellingShingle | Skrypnik, I. I. Скрыпник, И. И. Boundary values of solutions to linear second order parabolic equations |
| title | Boundary values of solutions to linear second order parabolic equations |
| title_alt | Граничные значения решений линейных параболических уравнений второго порядка |
| title_full | Boundary values of solutions to linear second order parabolic equations |
| title_fullStr | Boundary values of solutions to linear second order parabolic equations |
| title_full_unstemmed | Boundary values of solutions to linear second order parabolic equations |
| title_short | Boundary values of solutions to linear second order parabolic equations |
| title_sort | boundary values of solutions to linear second order parabolic equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8242 |
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