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A relaxation approach to vector-valued Allen-Cahn MPEC problems

Farshbaf-Shaker, Hassan (2011) A relaxation approach to vector-valued Allen-Cahn MPEC problems. Preprintreihe der Fakultät Mathematik 27/2011, Working Paper.

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Abstract

In this paper we consider a vector-valued Allen-Cahn MPEC problem.
To derive optimality conditions we exploit a regularization-relaxation
technique. The optimality system of the regularized-relaxed subproblems
are investigated by applying the classical result of Zowe and Kurcyusz.
Finally we show that the stationary points of the regularizedrelaxed
subproblems converge to weak stationary points of the limit
problem.

Item Type:

Monograph (Working Paper)

Institutions:

Mathematics > Prof. Dr. Harald Garcke

Classification:

Notation	Type
34G25	MSC
35K86	MSC
65K10	MSC
49J20	MSC
35R35	MSC

Keywords:

Vector-valued Allen-Cahn system, parabolic bi-obstacle problems, MPECs, mathematical programs with complementarity constraints, optimality conditions.

Subjects:

500 Science > 510 Mathematics

Status:

Unknown

Refereed:

No, this version has not been refereed yet (as with preprints)

Created at the University of Regensburg:

Yes

Owner:

Universitätsbibliothek Regensburg

Deposited On:

07 Sep 2011 08:05