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Farshbaf-Shaker, Hassan ; Hecht, Claudia

Optimal control of elastic vector-valued Allen-Cahn variational inequalities

Farshbaf-Shaker, Hassan and Hecht, Claudia (2013) Optimal control of elastic vector-valued Allen-Cahn variational inequalities. Preprintreihe der Fakultät Mathematik 16/2013, Working Paper.

Date of publication of this fulltext: 14 Oct 2013 08:20
Monograph
DOI to cite this document: 10.5283/epub.28915


Abstract

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.


Involved Institutions


Details

Item typeMonograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Volume:16/2013
Date2013
InstitutionsMathematics > Prof. Dr. Harald Garcke
Classification
NotationType
35K86MSC
49K20MSC
49K21MSC
49J20MSC
35R35MSC
KeywordsVector-valued Allen-Cahn system, parabolic obstacle problems, linear elasticity, MPCCs, mathematical programs with complementarity constraints, optimality conditions
Dewey Decimal Classification500 Science > 510 Mathematics
StatusUnknown
RefereedNo, this version has not been refereed yet (as with preprints)
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-289155
Item ID28915

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