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Matematicheskie Zametki, 2014, Volume 96, Issue 4, Pages 522–538
DOI: https://doi.org/10.4213/mzm10142 (Mi mzm10142) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Asymptotic Integration of Linear Parabolic Problems with High-Frequency Coefficients in the Critical Case

V. B. Levenshtamab

a Southern Federal University, Rostov-on-Don
b South Mathematical Institute of VSC RAS
Full-text PDF (537 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10142
Abstract: For a linear second-order parabolic equation with high-frequency coefficients, the complete asymptotics of time-periodic solutions is constructed and justified. The limit averaged stationary problem is assumed degenerate.
Keywords: linear second-order parabolic equation, parabolic equation with high-frequency coefficients, asymptotics of time-periodic solutions, Dirichlet problem, boundary layer method, semigroup, spectral projection.
Received: 30.08.2012
Revised: 16.10.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 4, Pages 499–513
DOI: https://doi.org/10.1134/S0001434614090259
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: V. B. Levenshtam, “Asymptotic Integration of Linear Parabolic Problems with High-Frequency Coefficients in the Critical Case”, Mat. Zametki, 96:4 (2014), 522–538; Math. Notes, 96:4 (2014), 499–513
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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