Second-order necessary optimality conditions for a class of optimal control problems governed by partial differential equations with pure state constraints

DOI10.1007/s10957-014-0628-1zbMath1318.49039OpenAlexW2086575862MaRDI QIDQ2346386

Vu Huu Nhu, Bui Trong Kien, Arnd Rösch

Publication date: 1 June 2015

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-014-0628-1

zbMATH Keywords

semilinear elliptic equationsregularity conditionoptimal control problemsstationary Navier-Stokes equationssecond order necessary optimality conditionspure state constraints

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Navier-Stokes equations (35Q30) Semilinear elliptic equations (35J61)

Related Items (7)

First- and second-order necessary optimality conditions for optimal control problems governed by stationary Navier-Stokes equations with pure state constraints ⋮ Optimal Control of Quasilinear Parabolic PDEs with State-Constraints ⋮ Sequence-based necessary second-order optimality conditions for semilinear elliptic optimal control problems with nonsmooth data ⋮ First Order Sufficient Optimality Conditions for Navier--Stokes Flow. Dual Feedback Controls ⋮ Second-order necessary optimality conditions for semilinear elliptic optimal control problems ⋮ Necessary second-order optimality conditions in distributed-boundary semilinear elliptic optimal control with twice directionally differentiable functions ⋮ Second order optimality conditions for periodic optimal control problems governed by semilinear parabolic differential equations

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