Abstract
A sequence of optimal control problems for systems governed by PDE'sis considered. The parameter (index of an element of the sequence) appears in the cost functionals which have integral form, as well as in the state equations which are of parabolic or hyperbolic type. It is proved that, under some Γ-convergence of the cost functionals and some Γ convergence of the indicator functions of sets of admissible solutions, the optimal solutions exist and converge to an optimal solution of the limit problem.
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