Geodesic
Linear parabolic problem: High-frequency asymptotics in the critical case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7, pp. 1067-1081 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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V. V. Gusachenko; E. A. Il'icheva; V. B. Levenshtam. Linear parabolic problem: High-frequency asymptotics in the critical case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7, pp. 1067-1081. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a2/

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