Existence of Regular Lagrange Multipliers for a Nonlinear Elliptic Optimal Control Problem with Pointwise Control-State Constraints

DOI10.1137/050625114zbMath1108.49019OpenAlexW2006536785MaRDI QIDQ3427781

Arnd Rösch, Fredi Tröltzsch

Publication date: 27 March 2007

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

Full work available at URL: https://doi.org/10.1137/050625114

zbMATH Keywords

optimal controlLagrange multipliernonlinear programmingsemilinear elliptic equationfunction spacemixed control-state constraintpointwise state constraintLavrentiev-type regularization

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions and duality in mathematical programming (90C46) Linear-quadratic optimal control problems (49N10) Duality theory (optimization) (49N15)

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