Tuesday, 15:45 - 16:10 h, Room: MA 313


Juan Carlos De los Reyes
Optimality conditions for control problems of variational inequalities of the second kind


In this talk we discuss optimality conditions for control problems governed by a class of variational inequalities of the second kind. Applications include the optimal control of Bingham viscoplastic materials and simplified friction problems. If the problem is posed in Rn an optimality system has been derived by J. Outrata (2000). When considered in function spaces, however, the problem presents additional difficulties.
We propose an alternative approximation approach based on a Huber type regularization of the governing variational inequality. By using a family of regularized optimization problems and performing an asymptotic analysis, an optimality system for the original optimal control problem (including complementarity relations between the variables involved) is obtained.
We discuss on the gap between the function space optimality system and the finite-dimensional one, and explore sufficient conditions in order to close the gap.


Talk 2 of the invited session Tue.3.MA 313
"MPECs in function space II" [...]
Cluster 3
"Complementarity & variational inequalities" [...]


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