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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm10142https://doi.org/10.4213/mzm10142 https://www.mathnet.ru/eng/mzm/v96/i4/p522
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Abstract page: | 495 | Full-text PDF : | 184 | References: | 92 | First page: | 49 |
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