title: Pontryagin maximum principle of optimal control governed by fluid dynamic systems with two point boundary state constraint
abstract: We study the optimal control problem subject to the semilinear equation with a state constraint. We prove certain theorems and give examples of state constraints so that the maximum principle holds. The main difficulty of the problem is to make the sensitivity analysis of the state with respect to the control caused by the unboundedness and nonlinearity of an operator
keyphrases: Pontryagin maximum principle optimal control fluid dynamics state constraints semilinear equation