Regularized approximations of singular perturbations from the $H_2$-class
For a sequence of singular perturbations belonging to the $H_1$-class and converging to a given singular perturbation from the $H_2$-class, we find a method of additive regularization that guarantees the strong resolvent convergence of perturbed operators.
Збережено в:
| Дата: | 2000 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2000
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4457 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510585962102784 |
|---|---|
| author | Koshmanenko, V. D. Кошманенко, В. Д. |
| author_facet | Koshmanenko, V. D. Кошманенко, В. Д. |
| author_sort | Koshmanenko, V. D. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:27Z |
| description | For a sequence of singular perturbations belonging to the $H_1$-class and converging to a given singular perturbation from the $H_2$-class, we find a method of additive regularization that guarantees the strong resolvent convergence of perturbed operators. |
| first_indexed | 2026-03-24T02:59:21Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4457 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:59:21Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/3d/0f3268a6b8e4373ba28331a4e12dcd3d.pdf |
| spelling | umjimathkievua-article-44572020-03-18T20:29:27Z Regularized approximations of singular perturbations from the $H_2$-class Регуляризовані апроксимації сингулярних збурень $H_2$-класу Koshmanenko, V. D. Кошманенко, В. Д. For a sequence of singular perturbations belonging to the $H_1$-class and converging to a given singular perturbation from the $H_2$-class, we find a method of additive regularization that guarantees the strong resolvent convergence of perturbed operators. Для послідовності сингулярних збурень з $H_1$ -класу, яка збігається до заданого сингулярного збурення $H_2$-класу, знайдено спосіб адитивної регуляризації, який забезпечує сильну резольвенту збіжність збурених операторів. Institute of Mathematics, NAS of Ukraine 2000-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4457 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 5 (2000); 626-637 Український математичний журнал; Том 52 № 5 (2000); 626-637 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4457/5618 https://umj.imath.kiev.ua/index.php/umj/article/view/4457/5619 Copyright (c) 2000 Koshmanenko V. D. |
| spellingShingle | Koshmanenko, V. D. Кошманенко, В. Д. Regularized approximations of singular perturbations from the $H_2$-class |
| title | Regularized approximations of singular perturbations from the $H_2$-class |
| title_alt | Регуляризовані апроксимації сингулярних збурень $H_2$-класу |
| title_full | Regularized approximations of singular perturbations from the $H_2$-class |
| title_fullStr | Regularized approximations of singular perturbations from the $H_2$-class |
| title_full_unstemmed | Regularized approximations of singular perturbations from the $H_2$-class |
| title_short | Regularized approximations of singular perturbations from the $H_2$-class |
| title_sort | regularized approximations of singular perturbations from the $h_2$-class |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4457 |
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