Global well-posedness for the k-dispersion generalized Benjamin-Ono equation
Analysis of PDEs
2012-12-19 v1
Abstract
We consider the -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.
Keywords
Cite
@article{arxiv.1212.4445,
title = {Global well-posedness for the k-dispersion generalized Benjamin-Ono equation},
author = {Luiz Gustavo Farah and Felipe Linares and Ademir Pastor},
journal= {arXiv preprint arXiv:1212.4445},
year = {2012}
}
Comments
10 pages