Vol. 51, No. 3, pp. 421-453 (1994)
Exact Controllability of Vibrations of Thin Bodies
J. Saint Jean Paulin and M. VanninathanDépartement 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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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.