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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 1, Pages 115–120 (Mi timm904)  
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic expansion of a solution to the problem of optimal control of a bounded flow at a boundary

A. P. Zorin

Ural Federal University
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Abstract: A problem of optimal control of solutions to an elliptic-type equation with a small coefficient at the Laplace operator and integral constraints on the control is considered in a bounded domain with smooth boundary. The control is effected by a bounded flow through the boundary. A complete asymptotic expansion of a solution to this problem in powers of the small parameter is obtained.
Keywords: optimal control, elliptic-type differential equation, asymptotic estimates.
Received: 22.08.2012
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. P. Zorin, “Asymptotic expansion of a solution to the problem of optimal control of a bounded flow at a boundary”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 1, 2013, 115–120
Citation in format AMSBIB
\Bibitem{Zor13}
\by A.~P.~Zorin
\paper Asymptotic expansion of a~solution to the problem of optimal control of a~bounded flow at a~boundary
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 1
\pages 115--120
\mathnet{http://mi.mathnet.ru/timm904}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3408366}
\elib{https://elibrary.ru/item.asp?id=18839270}
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  • https://www.mathnet.ru/eng/timm/v19/i1/p115
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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