Sharp energy estimates for nonlinear fractional diffusion equations

Xavier Cabre, Eleonora Cinti

We study the nonlinear fractional equation $(-\Delta {)}^{s}u=f(u)$ in ${\mathbb{R}}^n$, for all fractions $0<s<1$ and all nonlinearities $f$. For every fractional power $s\in (0,1)$, we o…