The problem of detecting corrosion by electric measurements revisited

Mourad Choulli (1) , Aymen Jbalia (2)

1 EDP - Equations aux dérivées partielles
2 Faculté des Sciences de Bizerte [Université de Carthage]

We establish a logarithmic stability estimate for the problem of detecting corrosion by electric measurements. We propose a proof based on an adaptation of the method initiated in [BCJ]. Roughly speaking, it consists in estimating a lower bound of the local $L^2$-norm at the boundary of the solution of the boundary value problem used in modeling the problem of detection corrosion by electric measurements.

Mots clés: Stability estimate; detecting corrosion; boundary measurement.; boundary measurement

Domaines: Equations aux dérivées partielles [math.AP]

Mourad Choulli, Aymen Jbalia. The problem of detecting corrosion by electric measurements revisited. 2013. ⟨hal-00864869v1⟩