Large-time behavior in a nonlocal heat equation with absorption. The absorption dominated case with fast decaying initial data

Carmen Cortázar, Fernando Quirós, Noemi Wolanski

We study the large-time behavior of nonnegative solutions to a nonlocal dispersal equation in ${\mathbb{R}}^N$ with an absorption term modeled by $-u^p$, with $1<p<1+\frac{2}{N}$. The ini…