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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] Dorodnitsyn A. A., “Asimptoticheskoe reshenie uravneniya Van der Polya”, Prikl. matem. i mekhan., 11:3 (1947), 313–328 | MR

[2] Vasileva A. B., Butuzov V. F., Asimptoticheskie metody v teorii singulyarnykh vozmuschenii, Vyssh. shkola, M., 1990 | MR

[3] Pao C. V., Nonlinear parabolic and elliptic equations, Plenum Press, New York, 1992 | MR