Existence of Neumann and singular solutions of the fast diffusion equation
Kin Ming Hui, Sung‐Hoon Kim · Discrete and Continuous Dynamical Systems · 2015
Let $\Omega$ be a smooth bounded domain in $\mathbb{R}^n$, $n\ge 3$, $0 0$. We will prove the existence of singular solutions of this equation in $\hat{\Omega}\times (0,T)$ for some $T>0$ that blow-up at the points $a_1,\dots, a_{i_0}$.