Asymptotic expansion for the solution of an optimal boundary control problem in a doubly connected domain with different control intensity on boundary segments

DOI10.1134/S0965542522020063zbMath1490.49017OpenAlexW4220827615MaRDI QIDQ2116586

A. R. Danilin

Publication date: 18 March 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522020063

zbMATH Keywords

asymptotic expansionsboundary control problemsingular perturbation equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25)

Cites Work

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• Asymptotics of a solution to an optimal boundary control problem
• A review on sparse solutions in optimal control of partial differential equations
• Second-order necessary conditions for optimal control of semilinear elliptic equations with leading term containing controls
• Asymptotics of the solution in a problem of optimal boundary control of a flow through a part of the boundary
• Approximation of a singularly perturbed elliptic problem of optimal control
• Asymptotic behaviour of bounded controls for a singular elliptic problem in a domain with a small cavity
• Second-Order Sufficient Optimality Conditions for Optimal Control of Nonsmooth, Semilinear Parabolic Equations

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