### Local well-posedness for the KdV hierarchy at high regularity

#### Abstract

We prove well-posedness in $L^2$-based Sobolev spaces $H^s$ at high regularity for a class of nonlinear higher-order dispersive equations generalizing the KdV hierarchy both on the line and on the torus.

#### Article information

Source
Adv. Differential Equations, Volume 21, Number 9/10 (2016), 801-836.

Dates
First available in Project Euclid: 14 June 2016