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A necessary and sufficient condition for the exact controllability of the wave equation. (Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes.) (French) Zbl 0906.93008
The authors show that the geometric condition of C. Bardos, G. Lebeau and J. Rauch [SIAM J. Control Optim. 30, 1024-1065 (1992; Zbl 0786.93009)] is also a necessary condition for the exact controllability of the wave equation with Dirichlet boundary conditions.
Reviewer: O.Cârjá (Iaşi)

MSC:
93B05 Controllability
93C20 Control/observation systems governed by partial differential equations
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