Geodesic
Asymptotic analysis of linear parabolic problems with singularities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 74-88 Cet article a éte moissonné depuis la source Math-Net.Ru

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Asymptotic methods are used to investigate a second-order linear parabolic problem with lower order coefficients rapidly oscillating in time. The coefficient multiplying the principal stationary operator is assumed to be singular, i.e., it has a simple zero eigenvalue. Under certain additional conditions, the problem is proved to have a unique time-periodic solution and its complete asymptotic expansion is constructed and justified. 
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V. V. Gusachenko; V. B. Levenshtam. Asymptotic analysis of linear parabolic problems with singularities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 74-88. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a6/

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