English

Global well-posedness of the Benjamin-Ono equation in low-regularity spaces

Analysis of PDEs 2007-05-23 v1 Classical Analysis and ODEs

Abstract

We prove that the Benjamin-Ono initial value problem is globally well-posed in the Sobolev spaces HrσH^\sigma_r, σ0\sigma\geq 0.

Keywords

Cite

@article{arxiv.math/0508632,
  title  = {Global well-posedness of the Benjamin-Ono equation in low-regularity spaces},
  author = {Alexandru Ionescu and Carlos Kenig},
  journal= {arXiv preprint arXiv:math/0508632},
  year   = {2007}
}