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 IECL - Institut Élie Cartan de Lorraine

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; elliptic Carleman inequality; scattering amplitude; surface impedance of an obstacle

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. Mathematical Methods in the Applied Sciences, 2013, 36 (18), pp.2429-2448. ⟨hal-00659032v4⟩