Geodesic
Stabilization of a~solution to the Cauchy problem for a~nondivergence parabolic equation with growing lower order coefficients
Informatics and Automation, Differential equations and dynamical systems, Tome 270 (2010), pp. 97-109

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

We obtain sharp sufficient conditions on the growth of lower order coefficients of a second-order parabolic equation under which a solution to the Cauchy problem stabilizes to zero uniformly in $x$ on every compact set $K\in\mathbb R^N$ in some classes of growing initial functions. 
@article{TRSPY_2010_270_a6,
     author = {V. N. Denisov},
     title = {Stabilization of a~solution to the {Cauchy} problem for a~nondivergence parabolic equation with growing lower order coefficients},
     journal = {Informatics and Automation},
     pages = {97--109},
     publisher = {mathdoc},
     volume = {270},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a6/}
}
TY  - JOUR
AU  - V. N. Denisov
TI  - Stabilization of a~solution to the Cauchy problem for a~nondivergence parabolic equation with growing lower order coefficients
JO  - Informatics and Automation
PY  - 2010
SP  - 97
EP  - 109
VL  - 270
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a6/
LA  - ru
ID  - TRSPY_2010_270_a6
ER  - 
%0 Journal Article
%A V. N. Denisov
%T Stabilization of a~solution to the Cauchy problem for a~nondivergence parabolic equation with growing lower order coefficients
%J Informatics and Automation
%D 2010
%P 97-109
%V 270
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a6/
%G ru
%F TRSPY_2010_270_a6
V. N. Denisov. Stabilization of a~solution to the Cauchy problem for a~nondivergence parabolic equation with growing lower order coefficients. Informatics and Automation, Differential equations and dynamical systems, Tome 270 (2010), pp. 97-109. http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a6/