Inverse Problems of Recovering Parameters in the Lin–Reissner–Tsien Equation Научная публикация
| Журнал |
Известия Иркутского государственного университета. Серия: Математика (Bulletin of Irkutsk State University. Series Mathematics)
ISSN: 1997-7670 |
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| Вых. Данные | Год: 2025, Том: 52, Страницы: 71- 87 Страниц : 17 DOI: 10.26516/1997-7670.2025.52.71 | ||||
| Ключевые слова | hyperbolic equations, inverse problems, unknown parameters, integral overdetermination condition, regular solutions | ||||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Российский научный фонд | 23-21-00269 |
Реферат:
The article is devoted to the study of the solvability of new nonlinear inverse problems of finding an unknown constant together with solving the linearized Lin- Reissner-Tsien equation. For the problems under consideration, theorems of solvability are proved in classes of regular solutions, i.e., of solutions having all weak derivatives in the sense of S.L. Sobolev that occur in the corresponding equation.The peculiarity of the problems under study is, firstly, that the unknown coefficient is a constant (which corresponds, for example, to a homogeneous medium). Secondly, a new overdetermination condition, not previously used by the predecessors, is introduced: an integral condition with respect to the time variable.
Библиографическая ссылка:
Kozhanov A.I.
, Telesheva L.A.
Inverse Problems of Recovering Parameters in the Lin–Reissner–Tsien Equation
Известия Иркутского государственного университета. Серия: Математика (Bulletin of Irkutsk State University. Series Mathematics). 2025. V.52. P.71- 87. DOI: 10.26516/1997-7670.2025.52.71 Scopus РИНЦ OpenAlex
Inverse Problems of Recovering Parameters in the Lin–Reissner–Tsien Equation
Известия Иркутского государственного университета. Серия: Математика (Bulletin of Irkutsk State University. Series Mathematics). 2025. V.52. P.71- 87. DOI: 10.26516/1997-7670.2025.52.71 Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 17 сент. 2024 г. |
| Принята к публикации: | 30 янв. 2025 г. |
| Опубликована в печати: | 14 июн. 2025 г. |
| Опубликована online: | 14 июн. 2025 г. |
Идентификаторы БД:
| Scopus: | 2-s2.0-105007928631 |
| РИНЦ: | 82440388 |
| OpenAlex: | W4411013406 |
Цитирование в БД:
Пока нет цитирований