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2. No-gap optimality conditions for an optimal control problem with pointwise control-state constraints.

Author

Son, Nguyen Hai and Nguyet, Tran Minh

Subjects
*OPTIMAL control theory, *TIKHONOV regularization
Abstract

An optimal control problem with pointwise mixed constraints of the instationary three-dimensional Navier-Stokes-Voigt equations is considered. We derive second-order optimality conditions and show that there is no gap between second-order necessary optimality conditions and second-order sufficient optimality conditions. In addition, the second-order sufficient optimality conditions for the problem where the objective functional does not contain a Tikhonov regularization term are also discussed. [ABSTRACT FROM AUTHOR]

Published
2019
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