Optimal control of elastic vector-valued Allen--Cahn variational inequalities
- Farshbaf Shaker, Mohammad Hassan
- Hecht, Claudia
2010 Mathematics Subject Classification
- 35K86 49K20 49K21 49J20 35R35
- Vector-valued Allen--Cahn system, parabolic obstacle problems, linear elasticity, MPCCs, mathematical programs with complementarity constraints, optimality conditions
In this paper we consider a elastic vector-valued Allen--Cahn 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.
- SIAM J. Control Optim., 54 (2016) pp. 129--152.