Stability of the determination of the surface impedance of an obstacle from the scattering amplitude

Mourad Bellassoued (1) , Mourad Choulli (2) , Aymen Jbalia (1)

1 Faculté des Sciences de Bizerte [Université de Carthage]
2 LMAM - Laboratoire de Mathématiques et Applications de Metz

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.

Mots clés: stability estimate of logarithmic type; surface impedance of an obstacle; scattering amplitude; elliptic Carleman inequality.; elliptic Carleman inequality

Domaines: Equations aux dérivées partielles [math.AP]

Mourad Bellassoued, Mourad Choulli, Aymen Jbalia. Stability of the determination of the surface impedance of an obstacle from the scattering amplitude. 2012. ⟨hal-00659032v3⟩