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