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Regularity and Stability for the Scattering Map of a Linearized Inverse Medium Problem

✍ Scribed by Gang Bao; Yu Chen; Fuming Ma

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
166 KB
Volume
247
Category
Article
ISSN
0022-247X

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✦ Synopsis

The main goal of this paper is to study the linearization of an inverse medium problem. Regularity and stability results are established for the near-field scattering Ž . map or scattering matrix which maps the scatterer to the scattered field. Properties on continuity and Frechet differentiability of the scattering map are examined. Á lower bound of the linearized scattering map is obtained, which in particular characterizes the stability properties. These results are useful in the analysis of the nonlinear inverse scattering problem.

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