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Sbornik: Mathematics, 1998, Volume 189, Issue 11, Pages 1611–1642
DOI: https://doi.org/10.1070/sm1998v189n11ABEH000364 (Mi sm364) 		 
This article is cited in 29 scientific papers (total in 29 papers)

Asymptotic behaviour of bounded controls for a singular elliptic problem in a domain with a small cavity

A. R. Danilin

Urals State Pedagogical University
English version PDF (355 kB) Citations (29)
References:
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DOI: https://doi.org/10.1070/sm1998v189n11ABEH000364
Abstract: The problem of optimal control of solutions of an elliptic equation in a domain with a small cavity is discussed. Uniform asymptotic formulae for the solutions are obtained up to an arbitrary degree of the small parameter by the method of matching asymptotic expansions. Other aspects of the same problem have been considered by Kapustyan.
Received: 20.08.1997
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 11, Pages 27–60
DOI: https://doi.org/10.4213/sm364
Bibliographic databases:
UDC: 517.977
MSC: 35C20, 49K22
Language: English
Original paper language: Russian
Citation: A. R. Danilin, “Asymptotic behaviour of bounded controls for a singular elliptic problem in a domain with a small cavity”, Mat. Sb., 189:11 (1998), 27–60; Sb. Math., 189:11 (1998), 1611–1642
Citation in format AMSBIB
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\pages 27--60
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:178
    English version PDF:17
    References:77
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