论文标题
解决方案图与边界控制问题的局部Hölder连续性具有有限的混合控制状态约束
Locally Hölder continuity of the solution map to a boundary control problem with finite mixed control-state constraints
论文作者
论文摘要
在本文中考虑了解决方案对具有有限混合键约束的半线性椭圆方程控制的参数边界控制问题的局部稳定性。我们证明，当对未解决的问题满足严格的非负二阶最佳条件时，解决方案映射是$ l^\ infty- $控制变量的局部连续的。
The local stability of the solution map to a parametric boundary control problem governed by semilinear elliptic equations with finite mixed pointwise constraints is considered in this paper. We prove that the solution map is locally Hölder continuous in $L^\infty-$norm of control variable when the strictly nonnegative second-order optimality conditions are satisfied for the unperturbed problem.
