Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 2, pp. 385-409
Citer cet article
V. F. Butuzov; I. V. Nedelko. On periodic contrast structures in singularly perturbed elliptic equations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 2, pp. 385-409. http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a2/
@article{FPM_1999_5_2_a2,
author = {V. F. Butuzov and I. V. Nedelko},
title = {On~periodic contrast structures in singularly perturbed elliptic equations},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {385--409},
year = {1999},
volume = {5},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a2/}
}
TY - JOUR
AU - V. F. Butuzov
AU - I. V. Nedelko
TI - On periodic contrast structures in singularly perturbed elliptic equations
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1999
SP - 385
EP - 409
VL - 5
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a2/
LA - ru
ID - FPM_1999_5_2_a2
ER -
%0 Journal Article
%A V. F. Butuzov
%A I. V. Nedelko
%T On periodic contrast structures in singularly perturbed elliptic equations
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1999
%P 385-409
%V 5
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a2/
%G ru
%F FPM_1999_5_2_a2
The periodic solutions having internal layers in two-dimensional singularly perturbed elliptic equation with different powers of small parameter at higher derivatives are constructed. The existence of spike-type and step-type contrast structures is proved and asymptotics of the contrast structures are constructed.
