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

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.

Publié le : 2015-01-01
DOI : https://doi.org/10.1016/j.anihpc.2014.03.005
Classification:  35B32,  35C07,  35J20,  35R09,  35R11,  45G05,  47G10
@article{AIHPC_2015__32_4_785_0,
     author = {Gui, Changfeng and Zhao, Mingfeng},
     title = {Traveling wave solutions of Allen--Cahn equation with a fractional Laplacian},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {32},
     year = {2015},
     pages = {785-812},
     doi = {10.1016/j.anihpc.2014.03.005},
     mrnumber = {3390084},
     zbl = {1326.35068},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2015__32_4_785_0}
}
Gui, Changfeng; Zhao, Mingfeng. Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian. Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) pp. 785-812. doi : 10.1016/j.anihpc.2014.03.005. http://gdmltest.u-ga.fr/item/AIHPC_2015__32_4_785_0/

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