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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 75–82 (Mi timm840)  
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotics of a solution to an optimal boundary control problem in a bounded domain

A. R. Danilinab, A. P. Zorinc

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
c Urals State Pedagogical University
Full-text PDF (165 kB) Citations (2)
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Abstract: A problem of optimal boundary control of solutions of an elliptic-type equation with a small coefficient at the Laplace operator and integral constraints on the control in a bounded domain with smooth boundary is considered. A complete asymptotic expansion of the solution of this problem in powers of the small parameter is obtained.
Keywords: singular problems, optimal control, boundary value problems for systems of partial differential equations, asymptotic expansions.
Received: 14.01.2012
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. R. Danilin, A. P. Zorin, “Asymptotics of a solution to an optimal boundary control problem in a bounded domain”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 75–82
Citation in format AMSBIB
\Bibitem{DanZor12}
\by A.~R.~Danilin, A.~P.~Zorin
\paper Asymptotics of a~solution to an optimal boundary control problem in a~bounded domain
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 3
\pages 75--82
\mathnet{http://mi.mathnet.ru/timm840}
\elib{https://elibrary.ru/item.asp?id=17937011}
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  • https://www.mathnet.ru/eng/timm/v18/i3/p75
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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