Symmetrization for Linear and Nonlinear Fractional Parabolic Equations of Porous Medium Type

Juan Luis Vázquez, Bruno Volzone

We establish symmetrization results for the solutions of the linear fractional diffusion equation ${\partial }_{t}u+(-\Delta {)}^{\sigma /2}u=f$ and itselliptic counterpart $hv+(-\Delta {)}^{\sigma /2}v=f$, $h…