Geodesic
Stabilization of solutions for semilinear parabolic systems as \(|x|\to \infty\)
Electronic journal of differential equations, Tome 2009 (2009)
We prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as $|x| \to \infty$.
Classification : 35K55, 35K65
Keywords: semilinear parabolic systems, stabilization 
@article{EJDE_2009__2009__a87,
     author = {Gladkov,  Alexander},
     title = {Stabilization of solutions for semilinear parabolic systems as \(|x|\to \infty\)},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1173.35361},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a87/}
}
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%A Gladkov,  Alexander
%T Stabilization of solutions for semilinear parabolic systems as \(|x|\to \infty\)
%J Electronic journal of differential equations
%D 2009
%V 2009
%U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a87/
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%F EJDE_2009__2009__a87
Gladkov,  Alexander. Stabilization of solutions for semilinear parabolic systems as \(|x|\to \infty\). Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a87/