The Tangential Cone Condition for Some Coefficient Identification Model Problems in Parabolic PDEs

Barbara Kaltenbacher (), Tram Thi Ngoc Nguyen () and Otmar Scherzer ()
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Barbara Kaltenbacher: Alpen-Adria-Universität Klagenfurt, Department of Mathematics
Tram Thi Ngoc Nguyen: University of Graz, Institute of Mathematics and Scientific Computing
Otmar Scherzer: University of Vienna, Faculty of Mathematics

A chapter in Time-dependent Problems in Imaging and Parameter Identification, 2021, pp 121-163 from Springer

Abstract: Abstract The tangential condition was introduced in Hanke et al. (Numer Math 72:21–37 1995) as a sufficient condition for convergence of the Landweber iteration for solving ill–posed problems. In this paper we present a series of time dependent benchmark inverse problems for which we can verify this condition.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-57784-1_5

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DOI: 10.1007/978-3-030-57784-1_5

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