In this paper we prove uniqueness for an inverse boundary value problem (IBVP) arising in electrodynamics. We assume that the electromagnetic properties of the medium, namely the magnetic permeability, the electric permittivity, and the conductivity, are described by continuously differentiable functions.
"Global uniqueness for an IBVP for the time-harmonic Maxwell equations." Anal. PDE 7 (2) 375 - 405, 2014. https://doi.org/10.2140/apde.2014.7.375