Geodesic
Convergence of the boundary control for the wave equation in domains with holes of critical size
Electronic journal of differential equations, Tome 2002 (2002)
In this paper, we consider the homogenization of the exact controllability problem for the wave equation in periodically perforated domain with holes of critical size. We show that the boundary control converges to the boundary control of the homogenized system under the assumption that the perforations are uniformly away from the boundary.
Classification : 35L05, 35B37, 93D05
Keywords: perforated domain, exact controllability, Hilbert uniqueness method, homogenization 
@article{EJDE_2002__2002__a246,
     author = {Nandakumaran,  A.K.},
     title = {Convergence of the boundary control for the wave equation in domains with holes of critical size},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1007.35007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a246/}
}
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JO  - Electronic journal of differential equations
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UR  - http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a246/
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%A Nandakumaran,  A.K.
%T Convergence of the boundary control for the wave equation in domains with holes of critical size
%J Electronic journal of differential equations
%D 2002
%V 2002
%U http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a246/
%G en
%F EJDE_2002__2002__a246
Nandakumaran,  A.K. Convergence of the boundary control for the wave equation in domains with holes of critical size. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a246/