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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 4, Pages 116–127 (Mi timm1120)  
This article is cited in 5 scientific papers (total in 5 papers)

Solution asymptotics in a problem of optimal boundary control of a flow through a part of the boundary

A. R. Danilinab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Yeltsin Ural Federal University
Full-text PDF (188 kB) Citations (5)
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Abstract: We consider a problem of optimal control through a part of the boundary of solutions to an elliptic equation in a bounded domain with smooth boundary with a small parameter at the Laplace operator and integral constraints on the control. A complete asymptotic expansion of the solution to this problems in powers of the small parameter is constructed.
Keywords: singular problems, optimal control, boundary value problems for systems of partial differential equations, asymptotic expansions.
Received: 16.05.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 292, Issue 1, Pages 55–66
DOI: https://doi.org/10.1134/S008154381602005X
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. R. Danilin, “Solution asymptotics in a problem of optimal boundary control of a flow through a part of the boundary”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 116–127; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 55–66
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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