Inverse stable reconstruction of 3 coefficients for the heterogeneous Maxwell equations by finite number of partial interior observations

Abstract

We consider an inverse problem of determining the isotropic inhomogeneous electromagnetic coefficients of the non-stationary Maxwell’s equations in a bounded domain of ℝ3 by means of a finite number of interior data of as less as possible components of the solutions. Our main result is a Lipschitz stability estimate for the inverse problem and our proof relies on a Carleman estimate for the heterogeneous Maxwell’s equations.