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July  1996, 2(3): 367-386. doi: 10.3934/dcds.1996.2.367

Exact controllability of the wave equation for domains with slits and for mixed boundary conditions

Arnaud Heibig 1, and  Mohand Moussaoui 2,

1. 

Ecole Normale Supérieure de Lyon, 46 allée d'Italie, UMPA-UMR 128, 69364 Lyon, Cedex 07, France
2. 

Ecole Centrale de Lyon, UM 5585 CNRS, BP 163, 69131 Ecully Cedex, France

Received  April 1996 Published  May 1996

We discuss the problem of exact controllability for the wave equation in a plane domain with cracks and for mixed bonudary conditions. We use the Hilbert Uniqueness Method of J.-L. Lions. We recover some results due to P. Grisvard under some less restrictive geometrical hypotheses on the domain.
Keywords: exact controllability, Hilbert uniqueness method., wave equation.
Mathematics Subject Classification: 35Jx.
Citation: Arnaud Heibig, Mohand Moussaoui. Exact controllability of the wave equation for domains with slits and for mixed boundary conditions. Discrete and Continuous Dynamical Systems, 1996, 2 (3) : 367-386. doi: 10.3934/dcds.1996.2.367
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