Exact Boundary Controllability of Maxwell's Equations in Heterogeneous Media and an Application to an Inverse Source Problem

Abstract

We examine the question of control of Maxwell's equations in a heterogeneous medium with a nonsmooth boundary by means of control currents on the boundary of that medium. This requires the introduction and analysis of some functions spaces. Some energy estimates are established which allow us to get the control results owing to the Hilbert uniqueness method. We finally give an application to an inverse source problem.