OPTIMAL CONTROL OF THE NEUMANN PROBLEM FOR THENONLINEAR ELLIPTIC EQUATION WITHOUT THEDIFFERENTIABILITY OF THE CONTROL-STATE MAPPINGSIMON 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.