Refined asymptotics for the Cauchy problem for the fast $p$-Laplace
evolution equation
Refined asymptotics for the Cauchy problem for the fast $p$-Laplace
evolution equation
Our focus is on the fast diffusion equation $\partial_t u=\Delta_p u$ with $p<2$ in the whole Euclidean space of dimension $N\geq 2$. The properties of the solutions to the $p$-Laplace Cauchy problem change in several special values of the parameter $p$. In the range of $p$ when mass is conserved, …