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A Hölder stability estimate for a 3D coefficient inverse problem for a hyperbolic equation with a plane wave Научная публикация

Журнал Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219 , E-ISSN: 1569-3945
Вых. Данные Год: 2022, DOI: 10.1515/jiip-2022-0071
Ключевые слова Carleman estimate; Coefficient inverse problem; geodesic lines; hyperbolic equation; Hölder stability estimate
Авторы Klibanov Michael V. 1 , Romanov Vladimir G. 2
Организации
1 Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA
2 Sobolev Institute of Mathematics, Novosibirsk 630090, Russia

Информация о финансировании (1)

1 Институт математики им. С.Л. Соболева СО РАН FWNF-2022-0009

Реферат: Abstract. A 3D coefficient inverse problem for a hyperbolic equation with non-overdetermined data is considered. The forward problem is the Cauchy problem with the initial condition being the delta function concentrated at a single plane (i.e. the plane wave). A certain associated operator is written in finite differences with respect to two out of three spatial variables, i.e. “partial finite differences”. The grid step size is bounded from below by a fixed number. A Carleman estimate is applied to obtain, for the first time, a Hölder stability estimate for this problem. Another new result is an estimate from below the amplitude of the first term of the expansion of the solution of the forward problem near the characteristic wedge.
Библиографическая ссылка: Klibanov M.V. , Romanov V.G.
A Hölder stability estimate for a 3D coefficient inverse problem for a hyperbolic equation with a plane wave
Journal of Inverse and Ill-Posed Problems. 2022. DOI: 10.1515/jiip-2022-0071 WOS Scopus РИНЦ OpenAlex
Даты:
Поступила в редакцию: 8 сент. 2022 г.
Принята к публикации: 27 сент. 2022 г.
Опубликована online: 24 нояб. 2022 г.
Опубликована в печати: 1 апр. 2023 г.
Идентификаторы БД:
Web of science: WOS:000889253800001
Scopus: 2-s2.0-85143067642
РИНЦ: 57721968
OpenAlex: W4309827591
Цитирование в БД:
БД Цитирований
Web of science 1
Scopus 1
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