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Applied Mathematics and Optimization, Vol.70, No.2, 345-371, 2014
Time Optimal Controls of the Lengyel-Epstein Model with Internal Control
This paper is concerned with the time optimal control problem governed by the internal controlled Lengyel-Epstein model. We prove the existence of optimal controls. Moreover, we give necessary optimality conditions for an optimal control of our original problem by using one of the approximate problems.