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Cost function and control of solutions of hyperbolic equations. (Fonction de coût et contrôle des solutions des équations hyperboliques.) (French) Zbl 0882.35015

An estimation for the energy of the control solution of a hyperbolic equation is obtained. More exactly, in case of sufficiently large time, a bound of the solution by its normal derivative on an open subset of the boundary of the domain is given.

MSC:

35B37 PDE in connection with control problems (MSC2000)
93C20 Control/observation systems governed by partial differential equations