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Journal of Siberian Federal University. Mathematics & Physics, 2021, Volume 14, Issue 4, Pages 445–451
DOI: https://doi.org/10.17516/1997-1397-2021-14-4-445-451 (Mi jsfu929) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Inverse problem for source function in parabolic equation at Neumann boundary conditions

Victor K. Andreev, Irina V. Stepanova

Institute of Computational Modelling SB RAS Krasnoyarsk, Russian Federation
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DOI: https://doi.org/10.17516/1997-1397-2021-14-4-445-451
Abstract: The second initial-boundary value problem for a parabolic equation is under study. The term in the source function, depending only on time, is to be unknown. It is shown that in contrast to the standard Neumann problem, for the inverse problem with integral overdetermination condition the convergence of it nonstationary solution to the corresponding stationary one is possible for natural restrictions on the input problem data.
Keywords: parabolic equation, inverse problem, source function, a priori estimate, nonlocal overdetermination condition.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1631
This work is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement no. 075-02-2020-1631).
Received: 08.02.2021
Received in revised form: 10.03.2021
Accepted: 20.05.2021
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Victor K. Andreev, Irina V. Stepanova, “Inverse problem for source function in parabolic equation at Neumann boundary conditions”, J. Sib. Fed. Univ. Math. Phys., 14:4 (2021), 445–451
Citation in format AMSBIB
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\by Victor~K.~Andreev, Irina~V.~Stepanova
\paper Inverse problem for source function in parabolic equation at Neumann boundary conditions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 4
\pages 445--451
\mathnet{http://mi.mathnet.ru/jsfu929}
\crossref{https://doi.org/10.17516/1997-1397-2021-14-4-445-451}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000684603900005}
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    • This publication is cited in the following 2 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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