Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations

Jan Burczak, Rafael Granero-Belinchón

In this paper we consider a $d$-dimensional ($d=1,2$) parabolic-elliptic Keller-Segel equation with a logistic forcing and a fractional diffusion of order $\alpha \in (0,2)$. We prove un…