Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2014.08.25
  • Published : 2015.05.01
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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.

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References

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