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arXiv:1207.5421 [math.AP]AbstractReferencesReviewsResources

Stable determination of surface impedance on a rough obstacle by far field data

Giovanni Alessandrini, Eva Sincich, Sergio Vessella

Published 2012-07-23Version 1

We treat the stability of determining the boundary impedance of an obstacle by scattering data, with a single incident field. A previous result by Sincich (SIAM J. Math. Anal. 38, (2006), 434-451) showed a log stability when the boundary of the obstacle is assumed to be C^{1,1}-smooth. We prove that, when the obstacle boundary is merely Lipschitz, a log-log type stability still holds.

Comments: 13 pages, submitted for publication
Journal: Inverse Problems and Imaging Pages: 341 - 351, Volume 7, Issue 2, May 2013
Categories: math.AP
Subjects: 35R30, 35R25, 31B20
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