Super fast vanishing solutions of the fast diffusion equation

Abstract

We will extend a recent result of B. Choi, P. Daskalopoulos and J. King [5]. For any n ≥ 3, 0 < m < n−2 n+2 and γ > 0, we will construct subsolutions and supersolutions of the fast diffusion equation ut = n−1 m ∆u m in R n × (t 0 , T