Fractional porous medium equation on manifolds with nonnegative Ricci curvature: existence of solutions and smoothing effects via potential methods

Dorothea-Enrica von Criegern, Gabriele Grillo, Dario Daniele Monticelli

We study the fractional porous medium equation on complete noncompact Riemannian manifolds with nonnegative Ricci curvature for $s\in (0,1]$ and $n>2s$. Assuming that the manifold i…