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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Format: | Article |
Language: | English |
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Wiley
2003-01-01
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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. |
format | Article |
id | doaj-art-1ca243b823474eb1a7d85233f5cbcd0d |
institution | Kabale University |
issn | 1085-3375 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 |