Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains Part I. Existence, Uniqueness and Upper Bounds

Matteo Bonforte, Juan Luis Vázquez

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