Optimal control of nonsmooth distributed parameter systems
Optimal control of nonsmooth distributed parameter systems
Coercive and semicoercive hemivariational inequalities
Nonlinear Analysis: Theory, Methods & Applications
Nonlinear Analysis: Theory, Methods & Applications
A parabolic hemivariational inequality
Nonlinear Analysis: Theory, Methods & Applications
Optimal Control of Distributed Parameter Systems
Optimal Control of Distributed Parameter Systems
Optimal Shape Design Problems for a Class of Systems Described by Hemivariational Inequalities
Journal of Global Optimization
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In this paper we study the optimal control of systems driven by parabolic hemivariational inequalities. First, we establish the existence of solutions to a parabolic hemivariational inequality which contains nonlinear evolution operator. Introducing a control variable in the second member and in the multivalued term, we prove the upper semicontinuity property of the solution set of the inequality. Then we use this result and the direct method of the calculus of variations to show the existence of optimal admissible state–control pairs.