Monotonicity of bistable transition fronts in R^N - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Elliptic and Parabolic Equations Année : 2016

Monotonicity of bistable transition fronts in R^N

Résumé

This paper is concerned with the monotonicity of transition fronts for bistable reaction-diffusion equations. Transition fronts generalize the standard notions of traveling fronts. Known examples of standard traveling fronts are the planar fronts and the fronts with conical-shaped or pyramidal level sets which are invariant in a moving frame. Other more general non-standard transition fronts with more complex level sets were constructed recently. In this paper, we prove the time monotonicity of all bistable transition fronts with non-zero global mean speed, whatever shape their level sets may have.
Fichier principal
Vignette du fichier
guo-hamel.pdf (110.12 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01387771 , version 1 (26-10-2016)

Identifiants

  • HAL Id : hal-01387771 , version 1

Citer

Hongjun Guo, François Hamel. Monotonicity of bistable transition fronts in R^N. Journal of Elliptic and Parabolic Equations, 2016, 2, pp.145-155. ⟨hal-01387771⟩
268 Consultations
78 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More