Simultaneous exact controllability for Maxwell equations and for a second-order hyperbolic system
Electronic journal of differential equations, Tome 2010 (2010)
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.
Classification :
35Q99, 74F99, 35B40
Keywords: distributed systems, simultaneous exact controllability, boundary observability
Keywords: distributed systems, simultaneous exact controllability, boundary observability
@article{EJDE_2010__2010__a158,
author = {Kapitonov, Boris V. and Perla Menzala, Gustavo},
title = {Simultaneous exact controllability for {Maxwell} equations and for a second-order hyperbolic system},
journal = {Electronic journal of differential equations},
year = {2010},
volume = {2010},
zbl = {1186.35216},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a158/}
}
TY - JOUR AU - Kapitonov, Boris V. AU - Perla Menzala, Gustavo TI - Simultaneous exact controllability for Maxwell equations and for a second-order hyperbolic system JO - Electronic journal of differential equations PY - 2010 VL - 2010 UR - http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a158/ LA - en ID - EJDE_2010__2010__a158 ER -
%0 Journal Article %A Kapitonov, Boris V. %A Perla Menzala, Gustavo %T Simultaneous exact controllability for Maxwell equations and for a second-order hyperbolic system %J Electronic journal of differential equations %D 2010 %V 2010 %U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a158/ %G en %F EJDE_2010__2010__a158
Kapitonov, Boris V.; Perla Menzala, Gustavo. Simultaneous exact controllability for Maxwell equations and for a second-order hyperbolic system. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a158/