Global well-posedness of the Benjamin-Ono equation in low-regularity spaces

Abstract

We prove that the Benjamin-Ono initial value problem is globally well-posed in the Sobolev spaces $H_r^{\sigma }$, $\sigma \ge 0$.

Cited by in corpus (1)

• Global wellposedness of the modified Benjamin-Ono equation with initial data in $H^{1/2}$