Optimal control of parabolic variational inequality involving state constraint

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Abstract

The optimal control problem governed by a state equation is addressed. Due to the involvement of the state constraint, a new kind of penalty functionals is constructed for the pay-off functional. Necessary conditions on the optimality for the problem are given and proven.

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APA

Wang, G. (2000). Optimal control of parabolic variational inequality involving state constraint. Nonlinear Analysis, Theory, Methods and Applications, 42(5), 789–801. https://doi.org/10.1016/S0362-546X(99)00124-8

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