Linear parabolic problem: High-frequency asymptotics in the critical case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7, pp. 1067-1081
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A second-order linear parabolic problem with high-frequency terms is considered. The elliptic operator of the corresponding limiting (averaged) problem is assumed to be degenerate. A complete formal asymptotic expansion of a time-periodic solution of the perturbed problem is constructed.
@article{ZVMMF_2013_53_7_a2,
author = {V. V. Gusachenko and E. A. Il'icheva and V. B. Levenshtam},
title = {Linear parabolic problem: {High-frequency} asymptotics in the critical case},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1067--1081},
publisher = {mathdoc},
volume = {53},
number = {7},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a2/}
}
TY - JOUR AU - V. V. Gusachenko AU - E. A. Il'icheva AU - V. B. Levenshtam TI - Linear parabolic problem: High-frequency asymptotics in the critical case JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2013 SP - 1067 EP - 1081 VL - 53 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a2/ LA - ru ID - ZVMMF_2013_53_7_a2 ER -
%0 Journal Article %A V. V. Gusachenko %A E. A. Il'icheva %A V. B. Levenshtam %T Linear parabolic problem: High-frequency asymptotics in the critical case %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2013 %P 1067-1081 %V 53 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a2/ %G ru %F ZVMMF_2013_53_7_a2
V. V. Gusachenko; E. A. Il'icheva; V. B. Levenshtam. Linear parabolic problem: High-frequency asymptotics in the critical case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7, pp. 1067-1081. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a2/