Journal
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume 197, Issue 3, Pages 939-965Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-023-02226-z
Keywords
Solution stability; Locally Lipschitz upper continuity; Optimality condition; Second-order Sufficient optimality condition
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This paper investigates the stability of minimizers to a parametric optimal control problem governed by semilinear elliptic equations with mixed pointwise control-state constraints. Under the assumption of strictly nonnegative second-order optimality condition, it is shown that the solution map is locally Lipschitz continuous in the L-2 norm and L-8 norm of the control variable.
This paper is concerned with the stability of minimizers to a parametric optimal control problem governed by semilinear elliptic equations with mixed pointwise control-state constraints. Under the strictly nonnegative second-order optimality condition assumption, we show that the solution map is locally Lipschitz continuous in L-2-norm as well as in L-8-norm of the control variable.
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