A steplike contrast structure in a singularly perturbed system of elliptic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 9, pp. 1427-1447
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A singularly perturbed boundary value problem for a system of elliptic equations in a two-dimensional region is considered. The asymptotics and existence of a solution with an internal transition layer are studied. The asymptotics is justified by the method of differential inequalities.
@article{ZVMMF_2013_53_9_a1,
author = {V. F. Butuzov and N. T. Levashova and A. A. Mel'nikova},
title = {A steplike contrast structure in a singularly perturbed system of elliptic equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1427--1447},
publisher = {mathdoc},
volume = {53},
number = {9},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_9_a1/}
}
TY - JOUR AU - V. F. Butuzov AU - N. T. Levashova AU - A. A. Mel'nikova TI - A steplike contrast structure in a singularly perturbed system of elliptic equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2013 SP - 1427 EP - 1447 VL - 53 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_9_a1/ LA - ru ID - ZVMMF_2013_53_9_a1 ER -
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V. F. Butuzov; N. T. Levashova; A. A. Mel'nikova. A steplike contrast structure in a singularly perturbed system of elliptic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 9, pp. 1427-1447. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_9_a1/