Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 24, pp. 1-13.

Title: Simultaneous exact controllability for Maxwell equations
       and for a second-order hyperbolic system
       
Authors: Boris V. Kapitonov (Sobolev Inst. of Math., Novosibirsk, Russia)
         Gustavo Perla Menzala (Federal Univ. of Rio de Janeiro,Brazil)

Abstract:
 We present a result on "simultaneous" exact controllability
 for two models that describe two hyperbolic dynamics.
 One is the system of Maxwell equations and the other a
 vector-wave equation with a pressure term.
 We obtain the main result using modified multipliers in order
 to generate a necessary observability estimate which allow
 us to use the Hilbert Uniqueness Method (HUM) introduced by Lions.

Submitted November 10, 2009. Published February 10, 2010.
Math Subject Classifications: 35Q99, 74F99, 35B40.
Key Words: Distributed systems; simultaneous exact controllability;
           boundary observability.