(1) Department of Mathematics, Georgetown University, Washington, DC 20057, USA eller@math.georgetown.edu, US;(2) Cycorp, Inc., 3721 Executive Center Dr. #100, Austin, TX 78731-1615, USA Communicated by I. Lasiecka, US
Abstract:
We prove exact controllability for Maxwell's system with variable coefficients in a bounded domain by a current flux in the boundary. The proof relies on a duality argument which reduces the proof of exact controllability to the proof of continuous observability for the homogeneous adjoint system. There is no geometric restriction imposed on the domain. Accepted 25 June 2001. Online publication 19 October 2001.