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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 9, Pages 46–52 (Mi ivm3065)  
Error estimation of approximate solutions to one inverse problem for a parabolic equation

V. P. Tanana, N. Yu. Kolesnikova

Southern-Ural State University, Chelyabinsk, Russia
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Abstract: This paper is devoted to solving the inverse boundary problem of the heat diagnostics by the projective regularization method. We obtain exact with respect to the order error estimates of the corresponding approximate solution.
Keywords: Hilbert space, Banach space, regularization of operator equations, inverse problem.
Received: 14.06.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 9, Pages 38–44
DOI: https://doi.org/10.3103/S1066369X09090059
Bibliographic databases:
UDC: 517.948
Language: Russian
Citation: V. P. Tanana, N. Yu. Kolesnikova, “Error estimation of approximate solutions to one inverse problem for a parabolic equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 9, 46–52; Russian Math. (Iz. VUZ), 53:9 (2009), 38–44
Citation in format AMSBIB
\Bibitem{TanKol09}
\by V.~P.~Tanana, N.~Yu.~Kolesnikova
\paper Error estimation of approximate solutions to one inverse problem for a~parabolic equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 9
\pages 46--52
\mathnet{http://mi.mathnet.ru/ivm3065}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2650574}
\zmath{https://zbmath.org/?q=an:1180.35573}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 9
\pages 38--44
\crossref{https://doi.org/10.3103/S1066369X09090059}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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