On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation
We find necessary and sufficient conditions under which orthogonal incoming and outgoing subspaces exist for a group of solutions of an abstract wave equation and possess an additional property of “equivalence” with respect to the operator of time reversion.
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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3938 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510069661106176 |
|---|---|
| author | Kuzhel', S. A. Кужіль, С. О. |
| author_facet | Kuzhel', S. A. Кужіль, С. О. |
| author_sort | Kuzhel', S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:15:55Z |
| description | We find necessary and sufficient conditions under which orthogonal incoming and outgoing subspaces exist for a group of solutions of an abstract wave equation and possess an additional property of “equivalence” with respect to the operator of time reversion. |
| first_indexed | 2026-03-24T02:51:08Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3938 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:51:08Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/3b/45958213ccd186aa41d2d3433faba83b.pdf |
| spelling | umjimathkievua-article-39382020-03-18T20:15:55Z On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation Про умови застосування схеми розсіяння Лакса - Філліпса до вивчення абстрактного хвильового рівняння Kuzhel', S. A. Кужіль, С. О. We find necessary and sufficient conditions under which orthogonal incoming and outgoing subspaces exist for a group of solutions of an abstract wave equation and possess an additional property of “equivalence” with respect to the operator of time reversion. Знайдено необхідні та достатні умови, при яких для групи розв'язків абстрактного хвильового рівняння існують ортогональні вхідний та вихідний підпростори з додатковою властивістю „рівноправності" відносно оператора обернення часу. Institute of Mathematics, NAS of Ukraine 2003-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3938 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 5 (2003); 621-630 Український математичний журнал; Том 55 № 5 (2003); 621-630 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3938/4589 https://umj.imath.kiev.ua/index.php/umj/article/view/3938/4590 Copyright (c) 2003 Kuzhel' S. A. |
| spellingShingle | Kuzhel', S. A. Кужіль, С. О. On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation |
| title | On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation |
| title_alt | Про умови застосування схеми розсіяння Лакса - Філліпса до вивчення абстрактного хвильового рівняння |
| title_full | On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation |
| title_fullStr | On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation |
| title_full_unstemmed | On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation |
| title_short | On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation |
| title_sort | on conditions for the applicability of the lax–phillips scattering scheme to the investigation of an abstract wave equation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3938 |
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