Second-order necessary optimality conditions for semilinear elliptic optimal control problems

DOI10.1080/00036811.2016.1148691zbMath1357.49092OpenAlexW2403267454WikidataQ58296099 ScholiaQ58296099MaRDI QIDQ2968009

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Publication date: 9 March 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1148691

zbMATH Keywords

optimal controlsemilinear elliptic equationmixed pointwise constraintsecond-order necessary optimality conditionfirst-order necessary optimality conditionpure pointwise state constraint

Mathematics Subject Classification ID

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

Related Items

Second-order Lagrange multiplier rules in multiobjective optimal control of infinite dimensional systems under state constraints and mixed pointwise constraints, Sequence-based necessary second-order optimality conditions for semilinear elliptic optimal control problems with nonsmooth data, Necessary second-order optimality conditions in distributed-boundary semilinear elliptic optimal control with twice directionally differentiable functions, On second-order optimality conditions for optimal control problems governed by the obstacle problem

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