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

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. 
@article{ZVMMF_2011_51_8_a8,
     author = {I. S. Malakhova},
     title = {Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a~rectangle},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1457--1466},
     publisher = {mathdoc},
     volume = {51},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a8/}
}
TY  - JOUR
AU  - I. S. Malakhova
TI  - Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2011
SP  - 1457
EP  - 1466
VL  - 51
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a8/
LA  - ru
ID  - ZVMMF_2011_51_8_a8
ER  - 
%0 Journal Article
%A I. S. Malakhova
%T Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2011
%P 1457-1466
%V 51
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a8/
%G ru
%F ZVMMF_2011_51_8_a8
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/