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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 11, Pages 1804–1814
DOI: https://doi.org/10.31857/S004446690003534-8 (Mi zvmmf10853) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotics of the solution of a bisingular optimal boundary control problem in a bounded domain

A. R. Danilin

Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia
Citations (2)
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DOI: https://doi.org/10.31857/S004446690003534-8
Abstract: A bisingular problem of optimal boundary control for solutions of an elliptic equation in a bounded domain with a smooth boundary is considered. The coefficient of the Laplacian is assumed to be small, and integral constraints are imposed on the control. A complete asymptotic expansion in powers of the small parameter is obtained for the solution of the problem.
Key words: singular problems, optimal control, boundary value problems for systems of partial differential equations, asymptotic expansions.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 17.10.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 11, Pages 1737–1747
DOI: https://doi.org/10.1134/S0965542518110040
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. R. Danilin, “Asymptotics of the solution of a bisingular optimal boundary control problem in a bounded domain”, Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018), 1804–1814; Comput. Math. Math. Phys., 58:11 (2018), 1737–1747
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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