Ill-posed equations with transformed argument

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.

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Main Authors: Simone Gramsch, Eberhard Schock
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337503303021
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author Simone Gramsch
Eberhard Schock
author_facet Simone Gramsch
Eberhard Schock
author_sort Simone Gramsch
collection DOAJ
description 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.
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institution Kabale University
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1687-0409
language English
publishDate 2003-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-1ca243b823474eb1a7d85233f5cbcd0d2025-02-03T05:59:16ZengWileyAbstract and Applied Analysis1085-33751687-04092003-01-0120031378579110.1155/S1085337503303021Ill-posed equations with transformed argumentSimone Gramsch0Eberhard Schock1Department of Mathematics, University of Kaiserslautern, Kaiserslautern 67663, GermanyDepartment of Mathematics, University of Kaiserslautern, Kaiserslautern 67663, GermanyWe 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.http://dx.doi.org/10.1155/S1085337503303021
spellingShingle Simone Gramsch
Eberhard Schock
Ill-posed equations with transformed argument
Abstract and Applied Analysis
title Ill-posed equations with transformed argument
title_full Ill-posed equations with transformed argument
title_fullStr Ill-posed equations with transformed argument
title_full_unstemmed Ill-posed equations with transformed argument
title_short Ill-posed equations with transformed argument
title_sort ill posed equations with transformed argument
url http://dx.doi.org/10.1155/S1085337503303021
work_keys_str_mv AT simonegramsch illposedequationswithtransformedargument
AT eberhardschock illposedequationswithtransformedargument