2 papers
math.AP2022
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…
math.AP2022
On blow up for a class of radial Hartree type equations
Shumao Wang
We study a class of Hartree type equations and prove a quantitative blow up rate for their blow up solutions. This is an analogue of the result by Merle and Raphaël on 3d NLS.