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Sbornik: Mathematics, 2010, Volume 201, Issue 10, Pages 1495–1510
DOI: https://doi.org/10.1070/SM2010v201n10ABEH004119 (Mi sm7646) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The asymptotics of the solution of an equation with a small parameter in a domain with angular points

E. F. Lelikova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
English version PDF (345 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM2010v201n10ABEH004119
Abstract: The asymptotic behaviour of solutions of the first boundary-value problem for a second-order elliptic equation in a domain with angular points is investigated for the case when a small parameter is involved in the equation only as a factor multiplying one of the highest order derivatives and the limit equation is an ordinary differential equation. Although the order of the limit equation coincides with that of the original equation, the problem in question is singularly perturbed. The asymptotic behaviour of the solution of this problem is studied by the method of matched asymptotic expansions.
Bibliography: 11 titles.
Keywords: small parameter, asymptotic behaviour, angular point.
Received: 30.10.2009
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 10, Pages 93–108
DOI: https://doi.org/10.4213/sm7646
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: Primary 35B40; Secondary 35B25
Language: English
Original paper language: Russian
Citation: E. F. Lelikova, “The asymptotics of the solution of an equation with a small parameter in a domain with angular points”, Mat. Sb., 201:10 (2010), 93–108; Sb. Math., 201:10 (2010), 1495–1510
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v201/i10/p93
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:58
    First page:11
     
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