Stability of the determination of the surface impedance of an obstacle from the scattering amplitudeReport as inadecuate




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* Corresponding author 1 Département de mathématiques, faculté des sciences de Bizerte 2 EDP - Equations aux dérivées partielles IECL - Institut Élie Cartan de Lorraine 3 département de mathématiques, faculté des sciences de Bizerte

Abstract : We prove a stability estimate of logarithmic type for the inverse problem consisting in the determination of the surface impedance of an obstacle from the scattering amplitude. We present a simple and direct proof which is essentially based on an elliptic Carleman inequality.

Keywords : surface impedance of an obstacle elliptic Carleman inequality scattering amplitude stability estimate of logarithmic type





Author: Mourad Bellassoued - Mourad Choulli - Aymen Jbalia -

Source: https://hal.archives-ouvertes.fr/



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