On Ill-Posedness and Local Ill-Posedness of Operator Equations in Hilbert Spaces: On Ill-Posedness and Local Ill-Posedness of OperatorEquations in Hilbert Spaces

On Ill-Posedness and Local Ill-Posedness of Operator Equations in Hilbert Spaces: On Ill-Posedness and Local Ill-Posedness of OperatorEquations in Hilbert Spaces

In this paper, we study ill-posedness concepts of nonlinear and linear inverse problems in a Hilbert space setting. We define local ill-posedness of a nonlinear operator equation $F(x) = y_0$ in a solution point $x_0$ and the interplay between the nonlinear problem and its linearization using t...

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Bibliographic Details
Main Author: Hofmann, B.
Language:English
Published: Technische Universität Chemnitz 1998
Subjects:
info:eu-repo/classification/ddc/510
ddc:510
Nonlinear inverse problems
oerator equations
ill-posedness
stability estimates
local ill-posedness
Frechet derivative
linearized problem
compact operators
integral equations
parameter identification
MSC 65J20
MSC 47H15
MSC 65J10
MSC 65J15
MSC 65R30
MSC 45G10
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801185
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