## Differential and Integral Equations

### A bilinear estimate with application to the sixth-order Boussinesq equation

#### Abstract

In this work, we study the Cauchy problem of the sixth-order Boussinesq equation. We shall use the $[k; Z]$-multiplier norm method to get a bilinear estimate on nonlinear term, and the local well-posedness on $H^s(\mathbb{R})$ is obtained for $s\gt-\frac{3}{4}$.

#### Article information

Source
Differential Integral Equations, Volume 27, Number 5/6 (2014), 401-414.

Dates
First available in Project Euclid: 3 April 2014