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http://dx.doi.org/10.4134/JKMS.2015.52.3.567

OPTIMAL CONTROL PROBLEMS FOR PARABOLIC HEMIVARIATIONAL INEQUALITIES WITH BOUNDARY CONDITIONS  

Jeong, Jin-Mun (Department of Applied Mathematics Pukyong National University)
Ju, Eun-Young (Department of Mathematics Pusan National University)
Kim, Hyun-Min (Department of Mathematics Pusan National University)
Publication Information
Journal of the Korean Mathematical Society / v.52, no.3, 2015 , pp. 567-586 More about this Journal
Abstract
In this paper, we study optimal control problems for parabolic hemivariational inequalities of dynamic elasticity and investigate the continuity of the solution mapping from the given initial value and control data to trajectories. We show the existence of an optimal control which minimizes the quadratic cost function and establish the necessary conditions of optimality of an optimal control for various observation cases.
Keywords
hemivariational inequality; existence of solution; boundary stabilization; decay rates;
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