Porous medium type reaction-diffusion equation: large time behaviors and regularity of free boundary

Qingyou He

We consider the Cauchy problem of the porous medium type reaction-diffusion equation \begin{equation*} \partial_tρ=Δρ^m+ρg(ρ),\quad (x,t)\in \mathbb{R}^n\times \mathbb{R}_+,\quad n…