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Sbornik: Mathematics, 2003, Volume 194, Issue 1, Pages 31–61
DOI: https://doi.org/10.1070/SM2003v194n01ABEH000705 (Mi sm705) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotic behaviour of solutions of a singular elliptic system in a rectangle

A. R. Danilin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
English version PDF (372 kB) Citations (5)
References:
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DOI: https://doi.org/10.1070/SM2003v194n01ABEH000705
Abstract: A system of two conjugate elliptic equations with a small parameter at the highest derivatives is considered in a rectangle with two sides parallel to the characteristics of the limiting equations.
The method of matched asymptotic expansions is used for the construction of uniform asymptotic series for solutions of this system up to an arbitrary power of the small parameter.
Received: 22.02.2001 and 20.06.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 1, Pages 31–60
DOI: https://doi.org/10.4213/sm705
Bibliographic databases:
UDC: 517.977
MSC: 35J65, 35B40, 35C20
Language: English
Original paper language: Russian
Citation: A. R. Danilin, “Asymptotic behaviour of solutions of a singular elliptic system in a rectangle”, Mat. Sb., 194:1 (2003), 31–60; Sb. Math., 194:1 (2003), 31–61
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:236
    English version PDF:10
    References:78
    First page:1
     
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