Inverse boundary value problem for the dynamical heterogeneous Maxwell system

Mourad Bellassoued (1) , Michel Cristofol (2) , Eric Soccorsi (3)

1 Faculté des Sciences de Bizerte [Université de Carthage]
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités
3 CPT - Centre de Physique Théorique - UMR 7332

We consider the inverse problem of determining the isotropic inhomogeneous electromagnetic coefficients of the non-stationary Maxwell equations in a bounded domain of R^3, from a finite number of boundary measurements. Our main result is a Hölder stability estimate for the inverse problem, where the measurements are exerted only in some boundary components. For it, we prove a global Carleman estimate for the heterogeneous Maxwell's system with boundary conditions.

Mots clés: Carleman estimates; Inverse problems; Maxwell system; Carleman estimates.

Domaines: Equations aux dérivées partielles [math.AP]

Mourad Bellassoued, Michel Cristofol, Eric Soccorsi. Inverse boundary value problem for the dynamical heterogeneous Maxwell system. Inverse Problems, 2012, 28 (9), pp.095009. ⟨10.1088/0266-5611/28/9/095009⟩. ⟨hal-00739645⟩