Matematičeskie zametki, Tome 52 (1992) no. 3, pp. 10-16
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S. A. Vakulenko. Verification of asymptotic solutions for one-dimensional nonlinear parabolic equations. Matematičeskie zametki, Tome 52 (1992) no. 3, pp. 10-16. http://geodesic.mathdoc.fr/item/MZM_1992_52_3_a1/
@article{MZM_1992_52_3_a1,
author = {S. A. Vakulenko},
title = {Verification of asymptotic solutions for one-dimensional nonlinear parabolic equations},
journal = {Matemati\v{c}eskie zametki},
pages = {10--16},
year = {1992},
volume = {52},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1992_52_3_a1/}
}
TY - JOUR
AU - S. A. Vakulenko
TI - Verification of asymptotic solutions for one-dimensional nonlinear parabolic equations
JO - Matematičeskie zametki
PY - 1992
SP - 10
EP - 16
VL - 52
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1992_52_3_a1/
LA - ru
ID - MZM_1992_52_3_a1
ER -
%0 Journal Article
%A S. A. Vakulenko
%T Verification of asymptotic solutions for one-dimensional nonlinear parabolic equations
%J Matematičeskie zametki
%D 1992
%P 10-16
%V 52
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1992_52_3_a1/
%G ru
%F MZM_1992_52_3_a1
The present article proves a result that is new for partial differential equations. According to this result, the solution of the Cauchy problem for a nonlinear parabolic equation with variable, slowly changing coefficients will turn into (asymptotically approach) a special asymptotic solution, either a solution or a kink, for high values of $t$.
