Tuesday, 15:15 - 15:40 h, Room: MA 313

 

Stanislaw Migorski
An optimal control problem for a system of elliptic hemivariational inequalities

 

Abstract:
In this paper we deal with a system of two hemivariational inequalities which is a variational formulation of a boundary value problem for two coupled elliptic partial differential equations. The boundary conditions in the problem are described by the Clarke subdifferential multivalued and nonmonotone laws. First, we provide the results on existence and uniqueness of a weak solution to the system. Then we consider an optimal control problem for the system, we prove the continuous dependence of a solution on the control variable, and establish the existence of optimal solutions. Finally, we illustrate the applicability of the results in a study of a mathematical model which describes the static frictional contact problem between a piezoelectric body and a foundation.

 

Talk 1 of the invited session Tue.3.MA 313
"MPECs in function space II" [...]
Cluster 3
"Complementarity & variational inequalities" [...]

 

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