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Sbornik: Mathematics, 2012, Volume 203, Issue 11, Pages 1589–1610
DOI: https://doi.org/10.1070/SM2012v203n11ABEH004277 (Mi sm7921) 		 
The asymptotics of a solution of a parabolic equation as time increases without bound

D. O. Degtyareva, A. M. Il'inab

a Chelyabinsk State University
b Ural State University
English version PDF (532 kB)
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DOI: https://doi.org/10.1070/SM2012v203n11ABEH004277
Abstract: A boundary-value problem for a second order parabolic equation on a half-line is considered. A uniform asymptotic approximation to a solution to within any power of $t^{-1}$ is constructed and substantiated.
Bibliography: 8 titles.
Keywords: asymptotic expansion, small parameter, boundary-value problem, method of matching.
Received: 15.08.2011 and 26.05.2012
Russian version:
Matematicheskii Sbornik, 2012, Volume 203, Number 11, Pages 61–82
DOI: https://doi.org/10.4213/sm7921
Bibliographic databases:
Document Type: Article
UDC: 517.928
MSC: Primary 35B40; Secondary 35C20, 35K20
Language: English
Original paper language: Russian
Citation: D. O. Degtyarev, A. M. Il'in, “The asymptotics of a solution of a parabolic equation as time increases without bound”, Mat. Sb., 203:11 (2012), 61–82; Sb. Math., 203:11 (2012), 1589–1610
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v203/i11/p61
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    Abstract page:735
    Russian version PDF:229
    English version PDF:13
    References:106
    First page:81
     
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