On the $L_p -L_q$- estimates for the solutions of certain hyperbolic equations
We establish conditions, which should be imposed on the exponentsp andq and the dimensionalityn of a space in order that the $L_p -L_q$-estimates should hold for the solutions of the Cauchy problem for a second-order hyperbolic equation with constant coefficients.
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| Datum: | 1993 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch 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/5893 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512114123210752 |
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| author | Markovskii, A. I. Марковский, А. И. Марковский, А. И. |
| author_facet | Markovskii, A. I. Марковский, А. И. Марковский, А. И. |
| author_sort | Markovskii, A. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:04Z |
| description | We establish conditions, which should be imposed on the exponentsp andq and the dimensionalityn of a space in order that the $L_p -L_q$-estimates should hold for the solutions of the Cauchy problem for a second-order hyperbolic equation with constant coefficients. |
| first_indexed | 2026-03-24T03:23:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5893 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:38Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f3/fe32e164bcbf646167cc141dfe1b53f3.pdf |
| spelling | umjimathkievua-article-58932020-03-19T09:20:04Z On the $L_p -L_q$- estimates for the solutions of certain hyperbolic equations Об $L_p -L_q$ - оценках решений некоторых гиперболических уравнений Markovskii, A. I. Марковский, А. И. Марковский, А. И. We establish conditions, which should be imposed on the exponentsp andq and the dimensionalityn of a space in order that the $L_p -L_q$-estimates should hold for the solutions of the Cauchy problem for a second-order hyperbolic equation with constant coefficients. Вказано умови на показники $р, q$ і розмірність простору $n$, при виконанні яких вірні $L_p -L_q$ оцінки розв'язків задачі Коші для гіперболічного рівняння другого порядку з сталими коефіцієнтами. Institute of Mathematics, NAS of Ukraine 1993-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5893 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 7 (1993); 992–1008 Український математичний журнал; Том 45 № 7 (1993); 992–1008 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5893/8469 https://umj.imath.kiev.ua/index.php/umj/article/view/5893/8470 Copyright (c) 1993 Markovskii A. I. |
| spellingShingle | Markovskii, A. I. Марковский, А. И. Марковский, А. И. On the $L_p -L_q$- estimates for the solutions of certain hyperbolic equations |
| title | On the $L_p -L_q$- estimates for the solutions of certain hyperbolic equations |
| title_alt | Об $L_p -L_q$ - оценках решений некоторых гиперболических уравнений |
| title_full | On the $L_p -L_q$- estimates for the solutions of certain hyperbolic equations |
| title_fullStr | On the $L_p -L_q$- estimates for the solutions of certain hyperbolic equations |
| title_full_unstemmed | On the $L_p -L_q$- estimates for the solutions of certain hyperbolic equations |
| title_short | On the $L_p -L_q$- estimates for the solutions of certain hyperbolic equations |
| title_sort | on the $l_p -l_q$- estimates for the solutions of certain hyperbolic equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5893 |
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