OPTIMAL CONTROL OF ELASTIC VECTOR-VALUED ALLEN-CAHN VARIATIONAL INEQUALITIES

Farshbaf-Shaker, M. Hassan and Hecht, Claudia (2016) OPTIMAL CONTROL OF ELASTIC VECTOR-VALUED ALLEN-CAHN VARIATIONAL INEQUALITIES. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 54 (1). pp. 129-152. ISSN 0363-0129, 1095-7138

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Abstract

In this paper we consider an elastic vector-valued Allen-Cahn 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.

Item Type: Article
Uncontrolled Keywords: EQUILIBRIUM CONSTRAINTS; MATHEMATICAL PROGRAMS; STATIONARITY; SYSTEMS; MODEL; vector-valued Allen-Cahn system; parabolic obstacle problems; linear elasticity; MPCCs; mathematical programs with complementarity constraints; optimality conditions
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Mar 2019 11:26
Last Modified: 15 Mar 2019 11:26
URI: https://pred.uni-regensburg.de/id/eprint/2759

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