Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian

Gui, Changfeng ; Zhao, Mingfeng

Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015), p. 785-812 / Harvested from Numdam

Résumé

In this paper, we show the existence and qualitative properties of traveling wave solutions to the Allen–Cahn equation with fractional Laplacians. A key ingredient is the estimation of the traveling speed of traveling wave solutions.

Détail

Publié le : 2015-01-01

MR 3390084 | Zbl 1326.35068

DOI : https://doi.org/10.1016/j.anihpc.2014.03.005
Classification:  35B32,  35C07,  35J20,  35R09,  35R11,  45G05,  47G10

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