An one-dimensional inverse problem for the wave equation | Sciact - Система учета научной деятельности ИМ СО РАН

An one-dimensional inverse problem for the wave equation Научная публикация

Журнал

Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822

Вых. Данные

Год: 2024, Том: 12, Номер: 3, Страницы: 135-162 Страниц : 28 DOI: 10.32523/2306-6172-2024-12-3-135-162

Ключевые слова

nonlinear wave equation, inverse problem, existence, uniqueness

Авторы

Romanov Vladimir G. ¹ , Bugueva Tatiana V. ^1,2

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University, Novosibirsk 630090, ul. Pirogova 1, Russia,

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0009

For the wave equation with inhomogeneity a forward and anone-dimensional inverse problems are studied. The forward problem is considered in the domain x > 0; t > 0 with zero initial data and Dirichlet boundary condition at x = 0. An unique solvability theorem of this problem is proved. The inverse problem is devoted to determining the coefficients under nonlinearities. As an additional information for recovering this coefficients, two forward problems with different Dirichlet data are considered and traces of the derivative of their solutions with respect to x are given at x = 0 on a finite interval. For the inverse problem a local existence and uniqueness theorem is established.

Romanov V.G. , Bugueva T.V.
An one-dimensional inverse problem for the wave equation
Eurasian Journal of Mathematical and Computer Applications. 2024. V.12. N3. P.135-162. DOI: 10.32523/2306-6172-2024-12-3-135-162 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	26 июн. 2024 г.
Принята к публикации:	30 июл. 2024 г.
Опубликована в печати:	4 окт. 2024 г.
Опубликована online:	4 окт. 2024 г.

Web of science:	WOS:001320677800010
Scopus:	2-s2.0-85204995039
РИНЦ:	74562464
OpenAlex:	W4403019156

БД	Цитирований
OpenAlex	2