SIAM Journal on Control and Optimization, Vol.52, No.2, 1166-1202, 2014
SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS FOR A CLASS OF SEMILINEAR ELLIPTIC OPTIMAL CONTROL PROBLEMS WITH MIXED POINTWISE CONSTRAINTS
This paper deals with first- and second-order necessary optimality conditions for a class of optimal control problems governed by semilinear elliptic partial differential equations with mixed pointwise state-control constraints.
Keywords:first-order necessary optimality condition;second-order necessary optimality condition;semilinear elliptic equation;mixed pointwise constraint