Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2008.05.31
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Abstract

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.

Keywords

References

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