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

This is the authors' abstract. We don't add key points for this paper.

We consider an inverse problem of determining the isotropic inhomogeneous electromagnetic coefficients of the non-stationary Maxwell’s equations in a bounded domain of R 3 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.