\(L^\infty\)-stability of a parametric optimal control problem governed by semilinear elliptic equations

DOI10.1007/s00245-020-09664-5zbMath1475.49025OpenAlexW3010114761MaRDI QIDQ2045141

Ching-Feng Wen, Nguyen Quoc Tuan, Bui Trong Kien, Jen-Chih Yao

Publication date: 11 August 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-020-09664-5

zbMATH Keywords

optimality conditionsolution stabilitysecond-order sufficient optimality conditionlocally Hölder upper continuity

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions for problems involving partial differential equations (49K20) Semilinear elliptic equations (35J61)

Related Items

Stability in Affine Optimal Control Problems Constrained by Semilinear Elliptic Partial Differential Equations ⋮ Solution stability to parametric distributed optimal control problems with finite unilateral constraints ⋮ Upper semicontinuity of the solution map to a parametric boundary optimal control problem with unbounded constraint sets ⋮ New Assumptions for Stability Analysis in Elliptic Optimal Control Problems ⋮ Locally Lipschitz stability of a parametric semilinear elliptic optimal control problem with mixed constraints ⋮ Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints

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