A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable
We consider a solution u(x, t) of the general linear evolution equation of the second order with respect to time variable given on the ball Π(T) = {(x,t): xε R n, t ε [0, T]} and study the dependence of the behavior of this solution on the behavior of the functions at infinity.
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4910 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511092714766336 |
|---|---|
| author | Antypko, I. I. Антыпко, И. И. Антыпко, И. И. |
| author_facet | Antypko, I. I. Антыпко, И. И. Антыпко, И. И. |
| author_sort | Antypko, I. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:16:53Z |
| description | We consider a solution u(x, t) of the general linear evolution equation of the second order with respect to time variable given on the ball Π(T) = {(x,t): xε R n, t ε [0, T]} and study the dependence of the behavior of this solution on the behavior of the functions at infinity. |
| first_indexed | 2026-03-24T03:07:24Z |
| format | Article |
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| id | umjimathkievua-article-4910 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:07:24Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/83/e8849ec566a80a3dcb2812531b9f5183.pdf |
| spelling | umjimathkievua-article-49102020-03-18T21:16:53Z A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable Теорема типа Фрагмена - Линделефа для решений эволюционного уравнения второго порядка по временной переменной Antypko, I. I. Антыпко, И. И. Антыпко, И. И. We consider a solution u(x, t) of the general linear evolution equation of the second order with respect to time variable given on the ball Π(T) = {(x,t): xε R n, t ε [0, T]} and study the dependence of the behavior of this solution on the behavior of the functions at infinity. Вивчається залежність поведінки розв'язку $u(x, t)$ загального лінійного еволюційного рівняння другого порядку за часовою змінною, заданого на шарі $Π(T) = {(x,t): x \in R^n, t \in [0, T]}$, від поведінки на нескінченності функцій $$u_1(x, t) = \frac{\partial u(x, 0)}{\partial t}, \quad u_2(x, t) = \frac{\partial u(x, T)}{\partial t}.$$ Institute of Mathematics, NAS of Ukraine 1998-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4910 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 5 (1998); 724–731 Український математичний журнал; Том 50 № 5 (1998); 724–731 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4910/6519 https://umj.imath.kiev.ua/index.php/umj/article/view/4910/6520 Copyright (c) 1998 Antypko I. I. |
| spellingShingle | Antypko, I. I. Антыпко, И. И. Антыпко, И. И. A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable |
| title | A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable |
| title_alt | Теорема типа Фрагмена - Линделефа для решений эволюционного уравнения второго порядка по временной переменной |
| title_full | A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable |
| title_fullStr | A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable |
| title_full_unstemmed | A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable |
| title_short | A theorem of the Phragmén-Lindelöf type for solutions of an evolution equation of the second order with respect to time variable |
| title_sort | theorem of the phragmén-lindelöf type for solutions of an evolution equation of the second order with respect to time variable |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4910 |
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