Geodesic
On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 44-55

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For singularly perturbed parabolic problems, asymptotic expansions of time-periodic solutions with boundary layers in a neighborhood of interval's endpoints are constructed and justified in the case where the degenerate equation has a double or a triple root. 
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     author = {V. F. Butuzov},
     title = {On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {1},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a3/}
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V. F. Butuzov. On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 44-55. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a3/