This article is cited in 7 papers

On error estimation for the quasi-inversion method for solving a semi-linear ill-posed problem

I. V. Tabarintseva

Chelyabinsk State University

Abstract: In this paper, the approximate solutions error estimates are obtained for an ill-posed semi-linear Cauchy problem. The continuity module of the inverse operator is used as a standard estimator for obtaining the error estimates. The value of the continuity module is calculated for two classes of uniform regularization of the original problem. The quasi-inversion method is used to construct stable approximate solutions.

Key words: differential-operator equation, Cauchy problem, ill-posed problem, method of approximate solution, error estimate.

UDC: 517.948

Received: 12.05.2004
Revised: 25.10.2004

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