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Optimal control problems governed by some semilinear parabolic equations. (English) Zbl 1054.49002

This paper deals with optimal control associated to nonlinear parabolic equations. After giving some known results the author derives a characterization for the optimal control. Then uniqueness of the optimal control is proved by using the strict convexity of the functional. Application to an optimal control problem governed by Keller-Segel equations is done. No numerical application is treated.

MSC:

49J20 Existence theories for optimal control problems involving partial differential equations
49K20 Optimality conditions for problems involving partial differential equations
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