Optimal Weighted Smoothing and Asymptotics of Ancient Solutions for Fast Diffusion Equations

Beomjun Choi, Xiqin Jiang, Hua-Yang Wang +1

The Cauchy--Dirichlet problem for the fast diffusion equation on a smooth bounded domain admits a natural bound in the weighted space $L_{{\Phi }_1}^p$, where ${\Phi }_1$ is the first Dirichle…