Geodesic
Some applications of parabolic comparison principles to the study of decay estimates
Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 2 
C.-P. Danet. Some applications of parabolic comparison principles to the study of decay estimates. Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2006_75_2_a8/
@article{AMUC_2006_75_2_a8,
     author = {C.-P. Danet},
     title = {Some applications of parabolic comparison principles to the study of decay estimates},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2006},
     volume = {75},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2006_75_2_a8/}
}
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Voir la notice de l'article provenant de la source Comenius University

This paper is concerned with the asymptotic behavior of solutions of general nonlinear parabolic equations. We consider a boundary value problem which was treated by Reynolds in a classical paper (J. Diff. Equations 12 (1972), 256-261). Our goal is to prove by different means a version of the main result in the above mentioned paper. We also point out that it remains valid under some weaker hypotheses if the working domain is cylindrical.