Asymptotics of the solution in a problem of optimal boundary control of a flow through a part of the boundary

DOI10.1134/S008154381602005XzbMath1343.49006OpenAlexW2366414963MaRDI QIDQ2631293

A. R. Danilin

Publication date: 29 July 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154381602005x

zbMATH Keywords

optimal controlasymptotic expansionsboundary value problemelliptic equationsingular problems

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (4)

Asymptotics of the solution of a singular optimal distributed control problem with essential constraints in a convex domain ⋮ Asymptotics of the solution of a bisingular optimal boundary control problem in a bounded domain ⋮ A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs ⋮ Asymptotic expansion for the solution of an optimal boundary control problem in a doubly connected domain with different control intensity on boundary segments

Cites Work

• Asymptotics of a solution to an optimal boundary control problem
• 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
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