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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 495, Pages 59–64
DOI: https://doi.org/10.31857/S2686954320060235 (Mi danma135) 		 
This article is cited in 5 scientific papers (total in 5 papers)

MATHEMATICS

Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case

A. V. Podolskii, T. A. Shaposhnikova

Lomonosov Moscow State University, Moscow, Russian Federation
Full-text PDF (178 kB) Citations (5)
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DOI: https://doi.org/10.31857/S2686954320060235
Abstract: The present paper is devoted to the study of the asymptotic behavior of the optimal control for the boundary value problem in an $\varepsilon$-periodically perforated domain with linear Robin-type boundary condition, when the period of the structure tends to zero, and the problem parameters, diameter of perforations and adsorption coefficient, take critical values.
Keywords: homogenization, perforated domain, critical case, optimal control, “strange” term.
Presented: V. V. Kozlov
Received: 05.10.2020
Revised: 02.11.2020
Accepted: 05.11.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 3, Pages 497–501
DOI: https://doi.org/10.1134/S1064562420060253
Bibliographic databases:
Document Type: Article
UDC: 517.956.223
Language: Russian
Citation: A. V. Podolskii, T. A. Shaposhnikova, “Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 59–64; Dokl. Math., 102:3 (2020), 497–501
Citation in format AMSBIB
\Bibitem{PodSha20}
\by A.~V.~Podolskii, T.~A.~Shaposhnikova
\paper Optimal control and ``strange'' term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 495
\pages 59--64
\mathnet{http://mi.mathnet.ru/danma135}
\crossref{https://doi.org/10.31857/S2686954320060235}
\zmath{https://zbmath.org/?q=an:1479.35252}
\elib{https://elibrary.ru/item.asp?id=44367203}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 3
\pages 497--501
\crossref{https://doi.org/10.1134/S1064562420060253}
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    • This publication is cited in the following 5 articles:
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