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) no. 4, pp. 785-812.

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.

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