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A priori error estimates for space-time finite element discretization of parabolic optimal control problems. I: Problems without control constraints. (English) Zbl 1161.49026

MSC:
49M25 Discrete approximations in optimal control
49N10 Linear-quadratic optimal control problems
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
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