Quantitative a Priori Estimates for Fast Diffusion Equations with Caffarelli-Kohn-Nirenberg weights. Harnack inequalities and Hölder continuity

Matteo Bonforte, Nikita Simonov

We study a priori estimates for a class of non-negative local weak solution to the weighted fast diffusion equation $u_t=|x{|}^{\gamma }\nabla \cdot (|x{|}^{-\beta }\nabla u^m)$, with $0<m<1$…