Global asymptotic stability of traveling waves to the Allen-Cahn equation with a fractional Laplacian
Luyi Ma, Hong-Tao Niu, Zhicheng Wang · Communications on Pure & Applied Analysis · 2019
In this paper, we study the asymptotic stability of traveling wave fronts to the Allen-Cahn equation with a fractional Laplacian. The main tools that we used are super- and subsolutions and squeezing methods.