Contents V.1, N.1, 2010

  • OPTIMAL CONTROL OF THE NEUMANN PROBLEM FOR THENONLINEAR ELLIPTIC EQUATION WITHOUT THEDIFFERENTIABILITY OF THE CONTROL-STATE MAPPING
    SIMON SEROVAJSKY (pp. 106-122)

    • Abstract.

    The optimal control problem for the nonlinear elliptic equation is considered. Thecorresponding control-state mapping is not Gataux differentiable. Necessary conditions of op-timality are obtained by means of the extended derivatives theory.

    Keywords:

    optimal control, nonlinear elliptic equation, control-state mapping, extended deriv-ative.

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