English

Global wellposedness of the modified Benjamin-Ono equation with initial data in $H^{1/2}$

Analysis of PDEs 2007-05-23 v1

Abstract

We prove that the modified Benjamin-Ono equation is globally wellposed in HsH^s for s1/2s\ge 1/2.

Keywords

Cite

@article{arxiv.math/0509573,
  title  = {Global wellposedness of the modified Benjamin-Ono equation with initial data in $H^{1/2}$},
  author = {Carlos E. Kenig and Hideo Takaoka},
  journal= {arXiv preprint arXiv:math/0509573},
  year   = {2007}
}