Refined asymptotics for the Cauchy problem for the fast $p$-Laplace evolution equation

Matteo Bonforte, Iwona Chlebicka, Nikita Simonov

Our focus is on the fast diffusion equation driven by the $p$-Laplacian operator, that is ${\partial }_{t}u={\Delta }_{p}u$ with $1<p<2$, posed in the whole space ${\mathbb{R}}^N$, $N\ge 2$. The…