Decay of mass for nonlinear equation with fractional Laplacian

Ahmad Fino, Grzegorz Karch

The large time behavior of nonnegative solutions to the reaction-diffusion equation ${\partial }_{t}u=-(-\Delta {)}^{\alpha /2}u-u^p,$ $(\alpha \in (0,2],p>1)$ posed on ${\mathbb{R}}^N$ and supplemented w…