Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 51, No. 3, pp. 421-453 (1994)

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Exact Controllability of Vibrations of Thin Bodies

J. Saint Jean Paulin and M. Vanninathan

Département de Mathématiques, Université de Metz,
Ile du Saulcy, 57045 Metz - FRANCE TIFR Centre, P.O. Box 1234,
II Sc. Campus, Bangalore 560012 - INDIA

Abstract: In this paper, we address the problem of exact controllability of the wave equation in three dimensional domains which are thin in one direction. We prove the existence of exact controls and analyze their asymptotic behaviour as thickness parameter goes to zero. We characterize their limit as the solution of an exact controllability problem in two dimension.

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