## Differential and Integral Equations

### Global well-posedness for the $k$-dispersion generalized Benjamin-Ono equation

#### Abstract

We consider the $k$-dispersion generalized Benjamin-Ono equation in the supercritical case. We establish sharp conditions on the data to show global well-posedness in the energy space for this family of nonlinear dispersive equations. We also prove similar results for the generalized Benjamin-Ono equation.

#### Article information

Source
Differential Integral Equations, Volume 27, Number 7/8 (2014), 601-612.

Dates
First available in Project Euclid: 6 May 2014

Farah, Luiz G.; Linares, Felipe; Pastor, Ademir. Global well-posedness for the $k$-dispersion generalized Benjamin-Ono equation. Differential Integral Equations 27 (2014), no. 7/8, 601--612. https://projecteuclid.org/euclid.die/1399395743