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- W4381551318 abstract "A class of optimal control problems governed by semilinear parabolic equations with mixed pointwise are considered. We give some criteria under which Lagrange multipliers belong to $L^p$-spaces. We then establish first and second-order optimality conditions of KKT-type for the problem. Moreover, we show that if the initial value is good enough and boundary $partialOmega$ has a property of positive geometric density, then multipliers and optimal solutions are H{o}lder continuous." @default.
- W4381551318 created "2023-06-22" @default.
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- W4381551318 date "2023-06-17" @default.
- W4381551318 modified "2023-10-18" @default.
- W4381551318 title "Regularity of multipliers and optimal solutions in second-order optimality conditions for semilinear parabolic optimal control problems" @default.
- W4381551318 doi "https://doi.org/10.48550/arxiv.2306.10295" @default.
- W4381551318 hasPublicationYear "2023" @default.
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