Fractional very fast diffusion equations in Lebesgue spaces: uniqueness and smoothing effects

Mohammed-El-Mahdi Boudaoud, Arturo de Pablo, Fernando Quirós

We investigate forward and backward smoothing effects in Lebesgue spaces $L^p$ and ${\mathcal{M}}^p:=L^{p,\infty }$ for the Cauchy problem associated to the nonlinear and nonlocal fra…