Locally H\"older continuity of the solution map to a boundary control problem with finite mixed control-state constraints
Abstract
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 H\"older continuous in L∞-norm of control variable when the strictly nonnegative second-order optimality conditions are satisfied for the unperturbed problem.
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