Stability of the recovery of surface impedances in inverse scattering
type: Item
instance of: scholarly article
title: Stability of the recovery of surface impedances in inverse scattering
zbMATH Open document ID: 0924.35191
author: Christophe Labreuche
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-11-04T00:00:00Z
review text: The author considers an inverse problem arising in scattering theory, which is for determining the surface impedance on the boundary of a known obstacle from knowledge of the far field pattern for the scattering of incident time-harmonic plane wave. It is well known that the above problem has a unique solution, but is ill posed. The author shows that the inverse problem is well posed provided that the surface impedance has an upper bound in the \(C^{1+\eta}\) norm.
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 78A45
zbMATH DE Number: 1274777
zbMATH Keywords: inverse scattering
zbMATH Keywords: surface impedance
zbMATH Keywords: stability
reviewed by: Yu Wenhuan
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6222
OpenAlex ID: W1983171536
cites work: Stability of recovering the near-field wave from the scattering amplitude
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DOI: 10.1006/JMAA.1998.6222
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description: scientific article; zbMATH DE number 1274777