Geodesic
On the Asymptotic Behavior of Solutions of Nonlinear Second-Order Parabolic Equations
Informatics and Automation, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 180-192

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

We study the asymptotic behavior as $t\to+\infty$ of solutions to a semilinear second-order parabolic equation in a cylindrical domain bounded in the spatial variable. We find the leading term of the asymptotic expansion of a solution as $t\to+\infty$ and show that each solution of the problem under consideration is asymptotically equivalent to a solution of some nonlinear ordinary differential equation. 
@article{TRSPY_2008_260_a11,
     author = {V. A. Kondrat'ev},
     title = {On the {Asymptotic} {Behavior} of {Solutions} of {Nonlinear} {Second-Order} {Parabolic} {Equations}},
     journal = {Informatics and Automation},
     pages = {180--192},
     publisher = {mathdoc},
     volume = {260},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2008_260_a11/}
}
TY  - JOUR
AU  - V. A. Kondrat'ev
TI  - On the Asymptotic Behavior of Solutions of Nonlinear Second-Order Parabolic Equations
JO  - Informatics and Automation
PY  - 2008
SP  - 180
EP  - 192
VL  - 260
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2008_260_a11/
LA  - ru
ID  - TRSPY_2008_260_a11
ER  - 
%0 Journal Article
%A V. A. Kondrat'ev
%T On the Asymptotic Behavior of Solutions of Nonlinear Second-Order Parabolic Equations
%J Informatics and Automation
%D 2008
%P 180-192
%V 260
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2008_260_a11/
%G ru
%F TRSPY_2008_260_a11
V. A. Kondrat'ev. On the Asymptotic Behavior of Solutions of Nonlinear Second-Order Parabolic Equations. Informatics and Automation, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 180-192. http://geodesic.mathdoc.fr/item/TRSPY_2008_260_a11/