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 
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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     author = {V. V. Gusachenko and E. A. Il'icheva and V. B. Levenshtam},
     title = {Linear parabolic problem: {High-frequency} asymptotics in the critical case},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1067--1081},
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     volume = {53},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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