Electron. J. Diff. Equ., Vol. 2010(2010), No. 24, pp. 1-13.

Simultaneous exact controllability for Maxwell equations and for a second-order hyperbolic system

Boris V. Kapitonov, Gustavo Perla Menzala

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.

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  Boris V. Kapitonov
Sobolev Institute of Mathematics
Siberian Branch of the Russian Academy of Science
Novosibirsk, Russia
Gustavo Perla Menzala
National Laboratory of Scientific Computation (LNCC/MCT)
Av. Getulio Vargas 333, Quitandinha, Petrópolis
RJ, 25651-070, Brazil.
Institute of Mathematics, Federal University of Rio de Janeiro
RJ, P.O. Box 68530, Rio de Janeiro, Brazil
email: perla@lncc.br

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