First and second order optimality conditions for the control of Fokker-Planck equations

DOI10.1051/cocv/2021014zbMath1467.49002arXiv2002.03988OpenAlexW3127776787MaRDI QIDQ4999516

Fredi Tröltzsch, M.-Soledad Aronna

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.03988

zbMATH Keywords

optimal controlFokker-Planck equationexistence of optimal controlfirst order optimality conditionssecond order optimality conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Optimality conditions for problems in abstract spaces (49K27) Fokker-Planck equations (35Q84)

Related Items (4)

Challenges in optimization with complex PDE-systems. Abstracts from the workshop held February 14--20, 2021 (hybrid meeting) ⋮ Second-order analysis of Fokker–Planck ensemble optimal control problems ⋮ Optimal control of a parabolic equation with a nonlocal nonlinearity ⋮ Problem of optimal control for bilinear systems with endpoint constraint

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