Vanishing time behavior of solutions to the fast diffusion equation

Kin Ming Hui, Soojung Kim

Let $n\ge 3$, $0<m<\frac{n-2}{n}$ and $T>0$. We construct positive solutions to the fast diffusion equation $u_t=\Delta u^m$ in ${\mathbb{R}}^n\times (0,T)$, which vanish at time $T$. By…