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Journal of Siberian Federal University. Mathematics & Physics, 2021, Volume 14, Issue 5, Pages 659–666
DOI: https://doi.org/10.17516/1997-1397-2021-14-5-659-666 (Mi jsfu952) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On an inverse problem for a stationary equation with boundary condition of the third kind

Alexander V. Velisevich

Siberian Federal University, Krasnoyarsk, Russian Federation
Full-text PDF (108 kB) Citations (4)
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DOI: https://doi.org/10.17516/1997-1397-2021-14-5-659-666
Abstract: The identification of an unknown coefficient in the lower term of elliptic second-order differential equation $Mu+ku=f$ with boundary condition of the third kind is considered. The identification of the coefficient is based on integral boundary data. The local existence and uniqueness of the strong solution for the inverse problem is proved.
Keywords: inverse problem for PDE, boundary value problem, second-order elliptic equation, existence and uniqueness theorem.
Funding agency Grant number
Russian Foundation for Basic Research 20-31-90053
This work was supported by Russian Foundation of Basic Research [grant no. 20-31-90053].
Received: 10.04.2021
Received in revised form: 10.05.2021
Accepted: 20.06.2021
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: English
Citation: Alexander V. Velisevich, “On an inverse problem for a stationary equation with boundary condition of the third kind”, J. Sib. Fed. Univ. Math. Phys., 14:5 (2021), 659–666
Citation in format AMSBIB
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\by Alexander~V.~Velisevich
\paper On an inverse problem for a stationary equation with boundary condition of the third kind
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 5
\pages 659--666
\mathnet{http://mi.mathnet.ru/jsfu952}
\crossref{https://doi.org/10.17516/1997-1397-2021-14-5-659-666}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000716998700013}
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    • This publication is cited in the following 4 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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