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Abstract
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Abstract and Applied Analysis
Volume 2003 (2003), Issue 13, Pages 785-791
doi:10.1155/S1085337503303021

Ill-posed equations with transformed argument

Simone Gramsch and Eberhard Schock

Department of Mathematics, University of Kaiserslautern, Kaiserslautern 67663, Germany

Abstract

We discuss the operator transforming the argument of a function in the L2-setting. Here this operator is unbounded and closed. For the approximate solution of ill-posed equations with closed operators, we present a new view on the Tikhonov regularization.