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Hyperbolic equations with unknown coefficients Научная публикация

Журнал

Symmetry
ISSN: 2073-8994

Вых. Данные

Год: 2020, Том: 12, Номер: 9, Номер статьи : 1539, Страниц : DOI: 10.3390/SYM12091539

Ключевые слова

Existence; Final-integral overdetermination condition; Hyperbolic equation; Inverse problem; Regular solution; Uniqueness; Unknown coefficient

Авторы

Kozhanov A.I. ¹

Организации

1	Sobolev Institute of Mathematics, Acad. Koptyug av. 4, Novosibirsk, 630090, Russian Federation

We study the solvability of nonlinear inverse problems of determining the low order coefficients in the second order hyperbolic equation. The overdetermination condition is specified as an integral condition with final data. Existence and uniqueness theorems for regular solutions are proved (i.e., for solutions having all weak derivatives in the sense of Sobolev, occuring in the equation). © 2020 by the authors.

Kozhanov A.I.
Hyperbolic equations with unknown coefficients
Symmetry. 2020. V.12. N9. 1539 . DOI: 10.3390/SYM12091539 WOS Scopus OpenAlex

Web of science:	WOS:000587662100001
Scopus:	2-s2.0-85092536425
OpenAlex:	W3087634166

БД	Цитирований
Scopus	7
OpenAlex	4
Web of science	2