Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 4, pp. 605-624
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For a singularly perturbed parabolic equation, asymptotics of the solution to an initial boundary value problem in the case of a triple root of the degenerate equation is constructed and justified. Essential distinctions from the case of a simple root are the scale of the boundary layer variables and the three-zone structure of the boundary layer.
@article{ZVMMF_2016_56_4_a6,
author = {V. F. Butuzov and A. I. Bychkov},
title = {Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {605--624},
year = {2016},
volume = {56},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a6/}
}
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V. F. Butuzov; A. I. Bychkov. Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 4, pp. 605-624. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a6/
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