Geodesic
On the behaviour of solutions of parabolic equations for large values of time
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 60 (2005) no. 4, pp. 721-790

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

This paper is a survey of classical and new results on stabilization of solutions of the Cauchy problem and mixed problems for second-order linear parabolic equations. Proofs are given for some new results about exact sufficient conditions on the behaviour of lower-order coefficients of the parabolic equation; these conditions ensure stabilization of a solution of the Cauchy problem for the parabolic equation in the class of bounded or increasing initial functions. 
@article{RM_2005_60_4_a7,
     author = {V. N. Denisov},
     title = {On the behaviour of solutions of parabolic equations for large values of time},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {721--790},
     publisher = {mathdoc},
     volume = {60},
     number = {4},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2005_60_4_a7/}
}
TY  - JOUR
AU  - V. N. Denisov
TI  - On the behaviour of solutions of parabolic equations for large values of time
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2005
SP  - 721
EP  - 790
VL  - 60
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RM_2005_60_4_a7/
LA  - en
ID  - RM_2005_60_4_a7
ER  - 
%0 Journal Article
%A V. N. Denisov
%T On the behaviour of solutions of parabolic equations for large values of time
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2005
%P 721-790
%V 60
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RM_2005_60_4_a7/
%G en
%F RM_2005_60_4_a7
V. N. Denisov. On the behaviour of solutions of parabolic equations for large values of time. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 60 (2005) no. 4, pp. 721-790. http://geodesic.mathdoc.fr/item/RM_2005_60_4_a7/