Classical solutions and higher regularity for nonlinear fractional diffusion equations

Juan Luis Vázquez, Arturo de Pablo, Fernando Quirós +1

We study the regularity properties of the solutions to the nonlinear equation with fractional diffusion $${\partial }_{t}u+(-\Delta {)}^{\sigma /2}\phi (u)=0,$$ posed for $x\in {\mathbb{R}}^N$, $t>0$, wi…