The Cauchy problem for the fast $p-$Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour

Matteo Bonforte, Nikita Simonov, Diana Stan

We study fine global properties of nonnegative solutions to the Cauchy Problem for the fast $p$-Laplacian evolution equation $u_t={\Delta }_{p}u$ on the whole Euclidean space, in the so-cal…