The Cauchy problem for the Ostrovsky equation with negative dispersion at the critical regularity

Yongsheng Li, Jianhua Huang, Wei Yan

In this paper, we investigate the Cauchy problem for the Ostrovsky equation \begin{eqnarray*} \partial_{x}\left(u_{t}-β\partial_{x}^{3}u +\frac{1}{2}\partial_{x}(u^{2})\right) -γu=…