First and Second Order Conditions for Optimal Control Problems with an $L^0$ Term in the Cost Functional

DOI10.1137/20M1318377zbMath1454.35147arXiv2002.04921MaRDI QIDQ5136749

Daniel Wachsmuth, Eduardo Casas

Publication date: 27 November 2020

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

Full work available at URL: https://arxiv.org/abs/2002.04921

zbMATH Keywords

optimal controloptimality conditionssemilinear partial differential equationsparse controls

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonsmooth analysis (49J52) Semilinear elliptic equations (35J61)

Related Items (3)

Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization ⋮ Subdifferentiation of Nonconvex Sparsity-Promoting Functionals on Lebesgue Spaces ⋮ Sparse optimal control of a quasilinear elliptic PDE in measure spaces

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