Journal
APPLIED MATHEMATICS AND OPTIMIZATION
Volume 84, Issue 1, Pages 849-876Publisher
SPRINGER
DOI: 10.1007/s00245-020-09664-5
Keywords
Solution stability; Locally Holder upper continuity; Optimality condition; Second-order sufficient optimality condition
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Funding
- Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.012019.308]
- Ministry of Science and Technology, Taiwan
- MOST [108-2115-M-037-001]
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This paper investigates the local stability of a parametric optimal control problem governed by semilinear elliptic equations with mixed pointwise constraints. It demonstrates that the solution map is upper Holder continuous in the L infinity-norm of the control variable if the unperturbed problem satisfies the strictly nonnegative second-order optimality conditions.
This paper studies local stability of a parametric optimal control problem governed by semilinear elliptic equations with mixed pointwise constraints. We show that if the unperturbed problem satisfies the strictly nonnegative second-order optimality conditions, then the solution map is upper Holder continuous in L infinity-norm of control variable.
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