A slow blow up solution for the four dimensional energy critical semi linear heat equation

Tongtong Li, Liming Sun, Shumao Wang

We consider the energy critical four dimensional semi-linear heat equation \[ \partial_{t}v-Δv-v^{3}=0, \quad(t,x)\in \mathbb{R}\times \mathbb{R}^4. \] Formal computation of Filipp…