Global existence and persistence of mass for a nonlinear equation with fractional Laplacian

Eric Ruvalcaba-Robles, José Villa-Morales

In this paper we study the partial differential equation \begin{equation} \begin{split} \partial_tu &= k(t)Δ_αu - h(t)φ(u), u(0) &= u_0. \end{split} \end{equation} Here ${\Delta }_{\alpha }$ is th…