Essential self-conjugacy of operators connected with the Cauchy, problem for the wave equation
A sufficient Hartman-Ismagilov type condition for the essential self-adjointness of a one-parameter family of unbounded operators that arise in the solution of a Cauchy problem for the wave equation is established. An analog of this result is stated for unbounded integral operators.
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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/8127 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512928334086144 |
|---|---|
| author | Orochko , Yu. B. Орочко , Ю. Б. |
| author_facet | Orochko , Yu. B. Орочко , Ю. Б. |
| author_sort | Orochko , Yu. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-01-31T10:37:42Z |
| description | A sufficient Hartman-Ismagilov type condition for the essential self-adjointness of a one-parameter family of unbounded operators that arise in the solution of a Cauchy problem for the wave equation is established. An analog of this result is stated for unbounded integral operators. |
| first_indexed | 2026-03-24T03:36:35Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8127 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:36:35Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5d/023272c3947add01f06d802725712d5d.pdf |
| spelling | umjimathkievua-article-81272024-01-31T10:37:42Z Essential self-conjugacy of operators connected with the Cauchy, problem for the wave equation О существенной самосопряженности операторов, связанных с задачей Коши для волнового уравнения Orochko , Yu. B. Орочко , Ю. Б. A sufficient Hartman-Ismagilov type condition for the essential self-adjointness of a one-parameter family of unbounded operators that arise in the solution of a Cauchy problem for the wave equation is established. An analog of this result is stated for unbounded integral operators. Устанавливается достаточное условие типа Хартмана — Исмагилова существенной самосопряженности однопараметрического семейства неограниченных операторов, возникающего при решении задачи Коши для волнового уравнения. Дается аналог этого результата для неграниченных интегральных операторов. Встановлюється достатня умова типу Хартмана — Ісмагілова істотної самопряженості однопараметричної сім’ї необмежених операторів, що виникає при розв’язуванні задачі Коші для хвильового рівняння. Дається аналог цього результату для необмежених інтегральних операторів. Institute of Mathematics, NAS of Ukraine 1992-08-03 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8127 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 7 (1992); 940-948 Український математичний журнал; Том 44 № 7 (1992); 940-948 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8127/9654 Copyright (c) 1992 Yu. B. Orochko |
| spellingShingle | Orochko , Yu. B. Орочко , Ю. Б. Essential self-conjugacy of operators connected with the Cauchy, problem for the wave equation |
| title | Essential self-conjugacy of operators connected with the Cauchy, problem for the wave equation |
| title_alt | О существенной самосопряженности операторов, связанных с задачей Коши для волнового уравнения |
| title_full | Essential self-conjugacy of operators connected with the Cauchy, problem for the wave equation |
| title_fullStr | Essential self-conjugacy of operators connected with the Cauchy, problem for the wave equation |
| title_full_unstemmed | Essential self-conjugacy of operators connected with the Cauchy, problem for the wave equation |
| title_short | Essential self-conjugacy of operators connected with the Cauchy, problem for the wave equation |
| title_sort | essential self-conjugacy of operators connected with the cauchy, problem for the wave equation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8127 |
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