Farshbaf-Shaker, M. Hassan (2012) A PENALTY APPROACH TO OPTIMAL CONTROL OF ALLEN-CAHN VARIATIONAL INEQUALITIES: MPEC-VIEW. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 33 (11). pp. 1321-1349. ISSN 0163-0563, 1532-2467
Full text not available from this repository. (Request a copy)Abstract
A scalar Allen-Cahn-MPEC problem is considered and a penalization technique is applied to show the existence of an optimal control. We show that the stationary points of the penalized problems converge to some stationary points of the limit problem, which however are weaker than C-stationarity conditions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | STATIONARITY; CONSTRAINTS; PRINCIPLE; Allen-Cahn system; Mathematical programs with complementarity constraints; MPECs; Optimality conditions; Parabolic obstacle problems |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 May 2020 09:37 |
| Last Modified: | 22 May 2020 09:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/19433 |
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