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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 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

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.

UDC: 517.948

Received: 14.06.2007


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:9, 38–44

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© Steklov Math. Inst. of RAS, 2024