A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on bounded domains

Matteo Bonforte, Juan Luis Vázquez

We investigate quantitative properties of the nonnegative solutions $u(t,x)\ge 0$ to the nonlinear fractional diffusion equation, ${\partial }_{t}u+\mathcal{L}(u^m)=0$, posed in a…