Optimal control of elastic vector-valued AllenCahn variational inequalities

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Date
2013
Volume
1858
Issue
Journal
Series Titel
WIAS Preprints
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

In this paper we consider a elastic vector-valued AllenCahn MPCC (Mathematical Programs with Complementarity Constraints) problem. We use a regularization approach to get the optimality system for the subproblems. By passing to the limit in the optimality conditions for the regularized subproblems, we derive certain generalized first-order necessary optimality conditions for the original problem.

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Citation
Farshbaf-Shaker, M. H., & Hecht, C. (2013). Optimal control of elastic vector-valued AllenCahn variational inequalities. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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