대한수학회지 (Journal of the Korean Mathematical Society)

  • 제45권3호
  • /
  • Pages.757-769
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  • 2008
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
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OPTIMAL CONTROL PROBLEMS FOR SEMILINEAR EVOLUTION EQUATIONS

  • Jeong, Jin-Mun (Division of Mathematical Sciences Pukyong National University) ;
  • Kim, Jin-Ran (Division of Mathematical Sciences Pukyong National University) ;
  • Roh, Hyun-Hee (Division of Mathematical Sciences Pukyong National University)
  • 발행 : 2008.05.31
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초록

This paper deals with the existence of optimal controls and maximal principles for semilinear evolution equations with the nonlinear term satisfying Lipschitz continuity. We also present the necessary conditions of optimality which are described by the adjoint state corresponding to the linear equations without a condition of differentiability for nonlinear term.

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참고문헌

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피인용 문헌

  1. Mild Solution and Fractional Optimal Control of Semilinear System with Fixed Delay vol.174, pp.1, 2017, https://doi.org/10.1007/s10957-015-0828-3