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
@article{EJDE_2010__2010__a58,
     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__a58/}
}
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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__a58/