A Holder stability estimates in the coefficient inverse problem for the wave equation with a point source Научная публикация
| Журнал |
Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822 |
||||
|---|---|---|---|---|---|
| Вых. Данные | Год: 2022, Том: 10, Номер: 2, Страницы: 11-25 Страниц : 15 DOI: 10.32523/2306-6172-2022-10-2-11-25 | ||||
| Ключевые слова | coefficient inverse problems, wave equation, finite differences, H¨older stability | ||||
| Авторы |
|
||||
| Организации |
|
Информация о финансировании (1)
| 1 | Институт математики им. С.Л. Соболева СО РАН | FWNF-2022-0009 |
Реферат:
We consider a 3D coefficient inverse problem for the wave-like equation with
backscattering non-overdetermined data. The forward problem is the Cauchy problem with
the initial condition as the delta-function concentrated at a single location of the point source.
We reduce the original problem to a problem with finite differences with respect to two out
of three spatial variables and study an inverse problem for it. A stability estimate is stated
for this reduced inverse problem.
Библиографическая ссылка:
Klibanov M.V.
, Romanov V.G.
A Holder stability estimates in the coefficient inverse problem for the wave equation with a point source
Eurasian Journal of Mathematical and Computer Applications. 2022. V.10. N2. P.11-25. DOI: 10.32523/2306-6172-2022-10-2-11-25 WOS Scopus РИНЦ OpenAlex
A Holder stability estimates in the coefficient inverse problem for the wave equation with a point source
Eurasian Journal of Mathematical and Computer Applications. 2022. V.10. N2. P.11-25. DOI: 10.32523/2306-6172-2022-10-2-11-25 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 20 апр. 2022 г. |
| Принята к публикации: | 30 апр. 2022 г. |
Идентификаторы БД:
| Web of science: | WOS:000817150600002 |
| Scopus: | 2-s2.0-85133143366 |
| РИНЦ: | 49150693 |
| OpenAlex: | W4283689758 |