An inverse problem for a nonlinear wave equation with damping | Sciact - Система учета научной деятельности ИМ СО РАН

An inverse problem for a nonlinear wave equation with damping Научная публикация

Журнал

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

Вых. Данные

Год: 2023, Том: 11, Номер: 2, Страницы: 99-115 Страниц : 17 DOI: 10.32523/2306-6172-2023-11-2-99-115

Ключевые слова

nonlinear wave equations, point source, inverse problem, tomography, integral geomety

Авторы

Romanov V.G. ¹

Организации

1	Sobolev Institute of Mathematics

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0009

We consider an inverse problem of recovering two coefficients in a semi-linear wave equation. This equation contains a damping term and a term with a quadratic nonlinearity. The inverse problem consists in recovering coefficients under these terms as function of the space variable x 2 R3. A forward problem for the equation with a point source is studied. As a result, the inverse problem reduce to two problems, one of them is the well known problem of X-ray tomography, the other one is the problem of the integral geometry with a with a special weight function. The latter problem is studied and a stability estimate for the solution of this problem is stated.

Romanov V.G.
An inverse problem for a nonlinear wave equation with damping
Eurasian Journal of Mathematical and Computer Applications. 2023. V.11. N2. P.99-115. DOI: 10.32523/2306-6172-2023-11-2-99-115 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	20 мар. 2023 г.
Принята к публикации:	17 апр. 2023 г.
Опубликована в печати:	8 июн. 2023 г.
Опубликована online:	8 июн. 2023 г.

Web of science:	WOS:001015856900005
Scopus:	2-s2.0-85162109622
РИНЦ:	61811708
OpenAlex:	W4383113693

БД	Цитирований
Scopus	1