The Cauchy problem for the generalized KdV equation in the Sobolev space $H^s(\mathbf{R})$

Xiangqian Yan, Yongsheng Li, Juan Huang +2

In this paper, we are concerned with the Cauchy problem for the generalized KdV equation with random data and rough data. Firstly, when $s\in \mathbf{R}$, by using the initial value…