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Journal of Siberian Federal University. Mathematics & Physics, 2021, Volume 14, Issue 4, Pages 414–424
DOI: https://doi.org/10.17516/1997-1397-2021-14-4-414-424
(Mi jsfu926)
 

The regularity of the solutions of inverse problems for the pseudoparabolic equation

Anna Sh. Lyubanova

Siberian Federal University, Krasnoyarsk, Russian Federation
References:
Abstract: The paper discusses the regularity of the solutions to the inverse problems on finding unknown coefficients dependent on $t$ in the pseudoparabolic equation of the third order with an additional information on the boundary. By the regularity is meant the continuous dependence of the solution on the input data of the inverse problem. The regularity of the solution is proved for two inverse problems of recovering the unknown coefficient in the second order term and the leader term of the linear pseudoparabolic equation.
Keywords: continuous dependence on the input data, a priori estimate, inverse problem, pseudoparabolic equation.
Received: 10.02.2021
Received in revised form: 05.03.2021
Accepted: 20.04.2021
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: English
Citation: Anna Sh. Lyubanova, “The regularity of the solutions of inverse problems for the pseudoparabolic equation”, J. Sib. Fed. Univ. Math. Phys., 14:4 (2021), 414–424
Citation in format AMSBIB
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\by Anna~Sh.~Lyubanova
\paper The regularity of the solutions of inverse problems for the pseudoparabolic equation
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 4
\pages 414--424
\mathnet{http://mi.mathnet.ru/jsfu926}
\crossref{https://doi.org/10.17516/1997-1397-2021-14-4-414-424}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000684603900002}
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