Classical well-posedness in dispersive equations with nonlinearities of mild regularity, and a composition theorem in Besov spaces

Mats Ehrnström, Long Pei

For both localized and periodic initial data, we prove local existence in classical energy space $H^s,s>\frac{3}{2}$, for a class of dispersive equations $u_{t}+(n(u))_{x}+Lu_{x}=…