Geodesic
Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1457-1466 
I. S. Malakhova. Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1457-1466. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a8/
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     title = {Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a~rectangle},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An elliptic equation in a rectangle with coefficients depending on a fast variable and with its period being a small parameter is considered. An asymptotic expansion of the solution up to an arbitrary degree of the small parameter is constructed and substantiated by applying the two-scale expansion method.

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