Interacting fronts in the strongly nonlocal Allen--Cahn equation

Erisa Hasani, Stefania Patrizi

We study the sharp-interface limit of the fractional Allen--Cahn equation in ${\mathbb{R}}^n$, $n\ge 2$, in the strongly nonlocal regime $s\in (0,\frac{1}{2})$, for initial data consisting of fi…