Global well-posedness for the Benjamin equation in low regularity

Yongsheng Li, Yifei Wu

In this paper we consider the initial value problem of the Benjamin equation $${\partial }_{t}u+\nu \stackrel{˝}{(}{\partial }_x^{2}u)+\mu {\partial }_x^{3}u+{\partial }_x{u}^2=0,$$ where $u:\R\times [0,T]\map…