V. P. Tanana, I. A. Gaĭnova, A. I. Sidikova, “On estimating the error of an approximate solution to an overdetermined inverse problem of thermodiagnostics”, Sib. Zh. Ind. Mat., 2012, Volume 15, Number 1,Pages <nobr>145

This article is cited in 1 paper

On estimating the error of an approximate solution to an overdetermined inverse problem of thermodiagnostics

V. P. Tanana^a, I. A. Gaĭnova^b, A. I. Sidikova^a

^a South Urals State University, Chelyabinsk, RUSSIA
^b Sobolev Institute of Mathematics SB RAS, Novosibirsk, RUSSIA

Abstract: Using a generalized projection regularization method, we solve an overdetermined inverse boundary value problem for the heat equation and obtain some estimates accurate in order for the error of this solution.

Keywords: unbounded operator, Hilbert space, projection regularization operator, error estimates, approximate solutions.

UDC: 517.948

Received: 16.05.2011
Revised: 12.12.2011