Large time behavior for a nonlocal nonlinear gradient flow

Feng Li, Erik Lindgren

We study the large time behavior of the nonlinear and nonlocal equation $$v_t+(-{\Delta }_p{)}^{s}v=f,$$ where $p\in (1,2)\cup (2,\infty )$, $s\in (0,1)$ and $$ (-Δ_p)^s v\, (x,t)=2 \,\te…