Asymptotics of the solution of a singular optimal distributed control problem with essential constraints in a convex domain

DOI10.1134/S001226612002010XzbMath1453.49010OpenAlexW3011927526MaRDI QIDQ2185085

A. R. Danilin

Publication date: 4 June 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001226612002010x

zbMATH Keywords

asymptotic expansiondistributed optimal control problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Elliptic equations and elliptic systems (35J99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotics of a solution to an optimal boundary control problem
• Asymptotics of the solution of a singular optimal distributed control problem in a convex domain
• On the asymptotic behavior of a solution to an equation with a small parameter in a neighborhood of a boundary inflection point
• Asymptotics of the solution in a problem of optimal boundary control of a flow through a part of the boundary
• A METHOD OF JOINING ASYMPTOTIC EXPANSIONS FOR THE EQUATION $ \epsilon\Delta u-a(x,\,y)u_y=f(x,\,y)$ IN A RECTANGLE
• Asymptotic behaviour of bounded controls for a singular elliptic problem in a domain with a small cavity
• Asymptotic behaviour of solutions of a singular elliptic system in a rectangle
• Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case

This page was built for publication: Asymptotics of the solution of a singular optimal distributed control problem with essential constraints in a convex domain