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Asymptotic behavior of some nonlinear heat equations

Lions, Pierre-Louis (1982), Asymptotic behavior of some nonlinear heat equations, Physica. D, Nonlinear Phenomena, 5, 2-3, p. 293-306. http://dx.doi.org/10.1016/0167-2789(82)90024-0

Type
Article accepté pour publication ou publié
Date
1982
Nom de la revue
Physica. D, Nonlinear Phenomena
Volume
5
Numéro
2-3
Éditeur
Elsevier
Pages
293-306
Identifiant publication
Métadonnées
Afficher la notice complète
Auteur(s)
Lions, Pierre-Louis
Résumé (EN)
In this paper a semilinear heat equation with a convex nonlinearity is considered. The asymptotic behavior of the solutions is completely determined and this gives, in particular, a very precise description of the global stability of stationary solutions.
Mots-clés
nonlinear equations