×

Optimal control problem of Bolza-type for evolution hemivariational inequality. (English) Zbl 1066.49006

The author considers an optimal control problem governed by an evolution hemivariational inequality of second order and with a Bolza-type functional. The existence of admissible pairs are guaranteed by a previous result on evolution hemivariational inequalities due to the author. The approach is based on the direct method of the calculus of variations.

MSC:

49J40 Variational inequalities
47J20 Variational and other types of inequalities involving nonlinear operators (general)
49K20 Optimality conditions for problems involving partial differential equations
35L70 Second-order nonlinear hyperbolic equations