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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 5, Pages 661–672 (Mi jsfu1113)  
An inverse problem for pseudoparabolic equation with the mixed boundary condition

Anna Sh. Lyubanova

Siberian Federal University, Krasnoyarsk, Russian Federation
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Abstract: In this paper we study the inverse problem on identification of the leading coefficient in the pseudoparabolic equation. The problem involves the mixed boundary condition. The unknown coefficient is recovered by additional integral boundary data. The existence and uniqueness of the strong solution are proved. The result concerns with the identification of the hydraulic properties of fissured medium.
Keywords: filtration, inverse problem, pseudoparabolic equation, existence, uniqueness.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-936
This work is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Agreement no. 075-02-2023-936).
Received: 05.02.2023
Received in revised form: 10.06.2023
Accepted: 20.08.2023
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: English
Citation: Anna Sh. Lyubanova, “An inverse problem for pseudoparabolic equation with the mixed boundary condition”, J. Sib. Fed. Univ. Math. Phys., 16:5 (2023), 661–672
Citation in format AMSBIB
\Bibitem{Lyu23}
\by Anna~Sh.~Lyubanova
\paper An inverse problem for pseudoparabolic equation with the mixed boundary condition
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2023
\vol 16
\issue 5
\pages 661--672
\mathnet{http://mi.mathnet.ru/jsfu1113}
\edn{https://elibrary.ru/TDISWG}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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