Geodesic
Asymptotic analysis of linear parabolic problems with singularities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 74-88

Voir la notice de l'article provenant de la source Math-Net.Ru

Asymptotic methods are used to investigate a second-order linear parabolic problem with lower order coefficients rapidly oscillating in time. The coefficient multiplying the principal stationary operator is assumed to be singular, i.e., it has a simple zero eigenvalue. Under certain additional conditions, the problem is proved to have a unique time-periodic solution and its complete asymptotic expansion is constructed and justified. 
@article{ZVMMF_2015_55_1_a6,
     author = {V. V. Gusachenko and V. B. Levenshtam},
     title = {Asymptotic analysis of linear parabolic problems with singularities},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {74--88},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a6/}
}
TY  - JOUR
AU  - V. V. Gusachenko
AU  - V. B. Levenshtam
TI  - Asymptotic analysis of linear parabolic problems with singularities
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2015
SP  - 74
EP  - 88
VL  - 55
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a6/
LA  - ru
ID  - ZVMMF_2015_55_1_a6
ER  - 
%0 Journal Article
%A V. V. Gusachenko
%A V. B. Levenshtam
%T Asymptotic analysis of linear parabolic problems with singularities
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2015
%P 74-88
%V 55
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a6/
%G ru
%F ZVMMF_2015_55_1_a6
V. V. Gusachenko; V. B. Levenshtam. Asymptotic analysis of linear parabolic problems with singularities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 1, pp. 74-88. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_1_a6/