Asymptotic behavior of solutions for a critical heat equation with nonlocal reaction

Jian Zhang, Jacques Giacomoni, Vicentiu Radulescu +1

In this paper, we consider the following nonlocal parabolic equation \begin{equation*} u_{t}-Δu=\left( \int_Ω\frac{|u(y,t)|^{2^{\ast}_μ}}{|x-y|^μ}dy\right) |u|^{2^{\ast}_μ-2}u,\ \t…