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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.


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Item Type:Monograph (Working Paper)
Date:2011
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
34G25MSC
35K86MSC
65K10MSC
49J20MSC
35R35MSC
Keywords:Vector-valued Allen-Cahn system, parabolic bi-obstacle problems, MPECs, mathematical programs with complementarity constraints, optimality conditions.
Dewey Decimal Classification: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
Deposited On:07 Sep 2011 06:05
Last Modified:13 Mar 2014 17:56
Item ID:22017
Owner Only: item control page

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