V. P. Tanana, A. B. Bredikhina, T. S. Kamaltdinova, “On an error estimate for an approximate solution for an inverse problem in the class of piecewise smooth functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 2012, Volume 18, Number 1,Pages <nobr>281

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On an error estimate for an approximate solution for an inverse problem in the class of piecewise smooth functions

V. P. Tanana, A. B. Bredikhina, T. S. Kamaltdinova

South Ural State University

Abstract: An inverse Cauchy problem is solved by the nonlinear projection regularization method under the assumption that the required solution is smooth.

Keywords: operator equations, regularization, method, error estimate, ill-posed problem.

UDC: 517.948

Received: 16.04.2011