Linear inverse problems for the heat equation and non-local boundary value problems with generalized Samarskii–Ionkin condition | Sciact - Система учета научной деятельности ИМ СО РАН

Linear inverse problems for the heat equation and non-local boundary value problems with generalized Samarskii–Ionkin condition Научная публикация

Журнал

Boletín de la Sociedad Matemática Mexicana
ISSN: 1405-213X

Вых. Данные

Год: 2023, Том: 29, Номер: 3, Номер статьи : 64, Страниц : 16 DOI: 10.1007/s40590-023-00529-9

Ключевые слова

Heat equation · Linear inverse problems · Generalized Samarskii–Ionkin condition · Regular solutions · Existence and uniqueness

Авторы

Kozhanov A.I. ¹ , Shipina T.N. ²

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, Russia
2	Siberian Federal University, Krasnoyarsk, Russia

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0008

The paper is devoted to the study of the solvability of linear inverse problems for a onedimensional heat equation with an unknown right-hand side. The aim of the work is to obtain theorems of the existence and uniqueness of regular solutions (i.e., solutions having all weak derivatives in the sense of Sobolev occurring in the equation) The proofs will essentially use new results on the solvability of nonlocal problems with a generalized Samarskii–Ionkin boundary condition.

Kozhanov A.I. , Shipina T.N.
Linear inverse problems for the heat equation and non-local boundary value problems with generalized Samarskii–Ionkin condition
Boletín de la Sociedad Matemática Mexicana. 2023. V.29. N3. 64 :1-16. DOI: 10.1007/s40590-023-00529-9 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	2 янв. 2023 г.
Принята к публикации:	20 июн. 2023 г.
Опубликована в печати:	24 авг. 2023 г.
Опубликована online:	24 авг. 2023 г.

Web of science:	WOS:001054519900001
Scopus:	2-s2.0-85168578327
РИНЦ:	62834224
OpenAlex:	W4386139083

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