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

Arnaud Heibig; Mohand Moussaoui

doi:10.3934/dcds.1996.2.367

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1996, Volume 2, Issue 3: 367-386. Doi: 10.3934/dcds.1996.2.367

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

Arnaud Heibig¹ and
Mohand Moussaoui^2,

1.
Ecole Normale Supérieure de Lyon, 46 allée d'Italie, UMPA-UMR 128, 69364 Lyon, Cedex 07
2.
Ecole Centrale de Lyon, UM 5585 CNRS, BP 163, 69131 Ecully Cedex

Received: April 1996

Published: July 1996

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Abstract

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.

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Mathematics Subject Classification: 35Jxx.

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