Strichartz Estimates and Small-Mass Global Well-Posedness for the Periodic Quintic NLS in 1D

Nikolaos Skouloudis, Jiahui Yu

We consider the periodic quintic nonlinear Schrödinger and prove small-mass global well-posedness in $H^s(\mathbb{T})$ for $s>0$. The proof relies on a new derivative-loss-free $L…