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Fakultät für Mathematik
G. Fleischer; B. Hofmann : Ill-Posedness Aspects of Some Nonlinear Inverse Problems and their Linearizations

G. Fleischer; B. Hofmann : Ill-Posedness Aspects of Some Nonlinear Inverse Problems and their Linearizations


Author(s) :
G. Fleischer; B. Hofmann
Title :
Ill-Posedness Aspects of Some Nonlinear Inverse Problems and their Linearizations
Electronic source :
[gzipped dvi-file] 22 kB
[gzipped ps-file] 51 kB
Preprint series
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 97-15, 1997
Mathematics Subject Classification :
65J20 [ Improperly posed problems (numerical methods in abstract spaces) ]
47B38 [ Operators on function spaces ]
Abstract :
In this paper we deal with aspects of characterizing the ill-posedn ess of nonlinear inverse problems based on the discussion of specific examples. In particular, a parameter identification problem to a second order differential equation and its ill-posed linear components are under consideration. A new approach to the classification ofill-posedness degrees for multiplication operators completes the paper.
Keywords :
degree of ill-posedness, multiplication op erators, nonlinear inverse problems, parameter identification
Language :
english
Publication time :
10/1997

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