Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization
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Publication:5217596
DOI10.1137/19M1258244zbMath1431.35077arXiv1905.05422MaRDI QIDQ5217596
Publication date: 25 February 2020
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.05422
Optimality conditions for problems involving partial differential equations (49K20) Discrete approximations in optimal control (49M25) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Semilinear elliptic equations (35J61) Quasilinear parabolic equations (35K59)
Related Items (16)
Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization ⋮ Stability for semilinear parabolic optimal control problems with respect to initial data ⋮ Corrigendum: Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization ⋮ Optimal control of a parabolic equation with a nonlocal nonlinearity ⋮ Sparse optimal control of a quasilinear elliptic PDE in measure spaces ⋮ Error estimates for the numerical approximation of unregularized sparse parabolic control problems ⋮ New Assumptions for Stability Analysis in Elliptic Optimal Control Problems ⋮ Optimal control of a parabolic equation with memory ⋮ A Note on Existence of Solutions to Control Problems of Semilinear Partial Differential Equations ⋮ Correction to: ``State error estimates for the numerical approximation of sparse distributed control problems in the absence of Tikhonov regularization ⋮ On the solution stability of parabolic optimal control problems ⋮ First and Second Order Conditions for Optimal Control Problems with an $L^0$ Term in the Cost Functional ⋮ Sparse Dirichlet optimal control problems ⋮ State error estimates for the numerical approximation of sparse distributed control problems in the absence of Tikhonov regularization ⋮ Coupled versus decoupled penalization of control complementarity constraints ⋮ Analysis of control problems of nonmontone semilinear elliptic equations
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