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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 7, Pages 1067–1081
DOI: https://doi.org/10.7868/S0044466913070107 (Mi zvmmf9820) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Linear parabolic problem: High-frequency asymptotics in the critical case

V. V. Gusachenko, E. A. Il'icheva, V. B. Levenshtam

Southern Federal University, Rostov-on-Don
Full-text PDF (798 kB) Citations (7)
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DOI: https://doi.org/10.7868/S0044466913070107
Abstract: A second-order linear parabolic problem with high-frequency terms is considered. The elliptic operator of the corresponding limiting (averaged) problem is assumed to be degenerate. A complete formal asymptotic expansion of a time-periodic solution of the perturbed problem is constructed.
Key words: parabolic problem, high-frequency in time coefficients, degenerate limiting problem, complete asymptotic expansion of a time-periodic solution.
Received: 18.03.2012
Revised: 14.01.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 7, Pages 882–895
DOI: https://doi.org/10.1134/S0965542513070105
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: V. V. Gusachenko, E. A. Il'icheva, V. B. Levenshtam, “Linear parabolic problem: High-frequency asymptotics in the critical case”, Zh. Vychisl. Mat. Mat. Fiz., 53:7 (2013), 1067–1081; Comput. Math. Math. Phys., 53:7 (2013), 882–895
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :79
    References:62
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