Abstract
A sequence of optimal control problems for systems described by nonlinear parabolic equations is considered. It is proved that, under the Γ-convergence of objective functionals, the parabolicG-convergence of operators in the state equations, and the Kuratowski convergence of control constraint sets, a convergent sequence of optimal pairs has a limit which is an optimal pair for the limit control problem. The convergence of minimal values is also obtained.
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