Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints
研究了半线性椭圆方程边界控制问题的二阶最优性条件，在混合逐点状态-控制约束下，证明了某些情形下二阶必要与充分条件之间无间隙，并讨论了目标函数不依赖控制变量时的二阶充分条件。
This paper deals with second-order optimality conditions for a boundary control problem which is governed by semilinear elliptic equations with mixed pointwise state-control constraints. We show that in some cases, there is no gap between second-order necessary optimality conditions and second-order sufficient optimality conditions. In addition, second-order sufficient optimality conditions for the problem where the objective function does not depend on control variables are also discussed.