Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints

DOI10.1137/15M1033629zbMath1352.49022OpenAlexW2523511221MaRDI QIDQ2821801

Arnd Rösch, Bui Trong Kien, Nguyen Hai Son

Publication date: 23 September 2016

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1033629

zbMATH Keywords

optimal controlboundary controlsemilinear elliptic equationsecond-order sufficient optimality conditionsmixed pointwise constraintsecond-order necessary optimality conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61)

Related Items (12)

Optimal Control of Quasilinear Parabolic PDEs with State-Constraints ⋮ On the no-gap second-order optimality conditions for a discrete optimal control problem with mixed constraints ⋮ Upper semicontinuity of the solution map to a parametric boundary optimal control problem with unbounded constraint sets ⋮ Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints ⋮ On the semicontinuity of the solution map to a parametric boundary control problem ⋮ No-gap optimality conditions for an optimal control problem with pointwise control-state constraints ⋮ Second-order KKT optimality conditions for multiobjective discrete optimal control problems ⋮ \(L^\infty\)-stability of a parametric optimal control problem governed by semilinear elliptic equations ⋮ Upper semicontinuity of the solution map to a parametric elliptic optimal control problem ⋮ Second-order optimality conditions and regularity of Lagrange multipliers for mixed optimal control problems ⋮ Necessary second-order optimality conditions in distributed-boundary semilinear elliptic optimal control with twice directionally differentiable functions ⋮ Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations

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