An Optimal Control Problem Described by Wave-type Hyperbolic Hemivariational Inequalities

L. Gasiński and M. Smołka (Poland)


hemivariational inequalities, locally Lipschitz functional, Clarke subdifferential, Bolza problem


In this paper we study an optimal control problem of Bolzatype described by a wave-type hyperbolic hemivariational inequality. We show an existence result for such a problem exploiting the existence result for hemivariational inequalities by L. Gasi´nski and M. Smołka [1] and sufficient conditions for L1-strong-weak lower semicontinuity of integral functionals by E.J. Balder [2].

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