On elements of the Lax-Phillips scattering scheme for $ρ$-perturbations of an abstract wave equation
We give the definition of $ρ$-perturbations of an abstract wave equation. As a special case, this definition includes perturbations with compact support for the classical wave equation. By using the Lax-Phillips method, we study scattering of “$ρ$-perturbed” systems and establish some properties of...
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4781 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510952813756416 |
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| 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 | 2020-03-18T21:14:27Z |
| description | We give the definition of $ρ$-perturbations of an abstract wave equation. As a special case, this definition includes perturbations with compact support for the classical wave equation. By using the Lax-Phillips method, we study scattering of “$ρ$-perturbed” systems and establish some properties of corresponding scattering matrices. |
| first_indexed | 2026-03-24T03:05:11Z |
| format | Article |
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| id | umjimathkievua-article-4781 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:05:11Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/00/73c3a84f567fafbd0f570b4c31df9800.pdf |
| spelling | umjimathkievua-article-47812020-03-18T21:14:27Z On elements of the Lax-Phillips scattering scheme for $ρ$-perturbations of an abstract wave equation Про елементи схеми розсіяння Лакса - Філліпса для $ρ$-збурень абстрактного хвильового рівняння Kuzhel', S. A. Кужіль, С. О. We give the definition of $ρ$-perturbations of an abstract wave equation. As a special case, this definition includes perturbations with compact support for the classical wave equation. By using the Lax-Phillips method, we study scattering of “$ρ$-perturbed” systems and establish some properties of corresponding scattering matrices. Дано означення $ρ$-збурень абстрактного хвильового рівняння, що як частинний випадок включає збурення з компактним носієм для класичного хвильового рівняння. Користуючись методом Лакса - Філліпса, вивчено розсіяння „$ρ$-збурених" систем і встановлено деякі властивості відповідних матриць розсіяння. Institute of Mathematics, NAS of Ukraine 1998-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4781 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 12 (1998); 1615–1629 Український математичний журнал; Том 50 № 12 (1998); 1615–1629 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4781/6262 https://umj.imath.kiev.ua/index.php/umj/article/view/4781/6263 Copyright (c) 1998 Kuzhel' S. A. |
| spellingShingle | Kuzhel', S. A. Кужіль, С. О. On elements of the Lax-Phillips scattering scheme for $ρ$-perturbations of an abstract wave equation |
| title | On elements of the Lax-Phillips scattering scheme for $ρ$-perturbations of an abstract wave equation |
| title_alt | Про елементи схеми розсіяння Лакса - Філліпса для $ρ$-збурень абстрактного хвильового рівняння |
| title_full | On elements of the Lax-Phillips scattering scheme for $ρ$-perturbations of an abstract wave equation |
| title_fullStr | On elements of the Lax-Phillips scattering scheme for $ρ$-perturbations of an abstract wave equation |
| title_full_unstemmed | On elements of the Lax-Phillips scattering scheme for $ρ$-perturbations of an abstract wave equation |
| title_short | On elements of the Lax-Phillips scattering scheme for $ρ$-perturbations of an abstract wave equation |
| title_sort | on elements of the lax-phillips scattering scheme for $ρ$-perturbations of an abstract wave equation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4781 |
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