Remarks about Lp — Lq estimates for solutions of the Klein — Gordon equations
We clarify some difficulties in the proofs of estimates, which were established earlier, in the paper by Marshall, Straus and Wainger devoted to the Lp — Lq estimates of solutions to the Klein —  Gordon equation.
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| Datum: | 1992 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7837 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865794170448248833 |
|---|---|
| author | Markovsky , A. I. Марковский , А. И. |
| author_facet | Markovsky , A. I. Марковский , А. И. |
| author_institution_txt_mv | [
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"author": "А. И. Марковский ",
"institution": "Ин-т прикл. математики и механики АН Украины, Донецк"
}
] |
| author_sort | Markovsky , A. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-09-27T12:27:08Z |
| description | We clarify some difficulties in the proofs of estimates, which were established earlier, in the paper by Marshall, Straus and Wainger devoted to the Lp — Lq estimates of solutions to the Klein —  Gordon equation. |
| first_indexed | 2026-03-24T03:34:18Z |
| format | Article |
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| id | umjimathkievua-article-7837 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:34:18Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
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| resource_txt_mv | umjimathkievua/fc/cb37579181d575756881b6be8a2069fc.pdf |
| spelling | umjimathkievua-article-78372023-09-27T12:27:08Z Remarks about Lp — Lq estimates for solutions of the Klein — Gordon equations Замечания об Lp — Lq оценках решений уравнения Клейна — Гордона Markovsky , A. I. Марковский , А. И. We clarify some difficulties in the proofs of estimates, which were established earlier, in the paper by Marshall, Straus and Wainger devoted to the Lp — Lq estimates of solutions to the Klein —  Gordon equation. Устраняются пробелы в доказательствах ряда оценок, установленных ранее в статье Маршалла, Штрауса и Вайнгера, посвященной Lp — Lq оценкам решений уравнения Клейна — Гордона. Усуваються недоліки в доведеннях ряду оцінок, установлених раніше в статті Маршалла, Штрауса і Вайнгера, присвяченій Lp — Lq оцінкам розв’язків рівняння Клейна —  Гордона. Institute of Mathematics, NAS of Ukraine 1992-02-28 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7837 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 2 (1992); 233-245 Український математичний журнал; Том 44 № 2 (1992); 233-245 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7837/9486 Copyright (c) 1992 A. I. Markovsky |
| spellingShingle | Markovsky , A. I. Марковский , А. И. Remarks about Lp — Lq estimates for solutions of the Klein — Gordon equations |
| title | Remarks about Lp — Lq estimates for solutions of the Klein — Gordon equations |
| title_alt | Замечания об Lp — Lq оценках решений уравнения Клейна — Гордона |
| title_full | Remarks about Lp — Lq estimates for solutions of the Klein — Gordon equations |
| title_fullStr | Remarks about Lp — Lq estimates for solutions of the Klein — Gordon equations |
| title_full_unstemmed | Remarks about Lp — Lq estimates for solutions of the Klein — Gordon equations |
| title_short | Remarks about Lp — Lq estimates for solutions of the Klein — Gordon equations |
| title_sort | remarks about lp — lq estimates for solutions of the klein — gordon equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7837 |
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