On blow-up rate for the Hénon parabolic equation with Sobolev supercritical nonlinearity

Kotaro Hisa, Yukihiro Seki

We discuss the Hénon parabolic equation ${\partial }_{t}u=\Delta u+|x{|}^{\sigma }{u}^p$ in a finite ball in ${\mathbb{R}}^N$ under the Dirichlet boundary condition, where $N\ge 1$, $p>1$, and $\sigma >0$. W…