Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations
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Publication:2116029
DOI10.1007/s11228-020-00555-zzbMath1485.35271OpenAlexW3094719947MaRDI QIDQ2116029
Publication date: 15 March 2022
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-020-00555-z
pointwise state constraintsmultiobjective optimal controlsecond-order directional derivativelocal weak Pareto solutionnecessary second-order optimality conditionintegral state-control constraintspointwise state-control constraints
Multi-objective and goal programming (90C29) Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions and duality in mathematical programming (90C46) Initial-boundary value problems for second-order parabolic equations (35K20) Optimality conditions for problems in abstract spaces (49K27) Semilinear parabolic equations (35K58)
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