English

Well-posedness in H^1 for the (generalized) Benjamin-Ono equation on the circle

Analysis of PDEs 2007-05-23 v1

Abstract

We prove the local well posedness of the Benjamin-Ono equation and the generalized Benjamin-Ono equation in H1(\T) H^1(\T) . This leads to a global well-posedness result in H1(\T) H^1(\T) for the Benjamin-Ono equation.

Keywords

Cite

@article{arxiv.math/0601215,
  title  = {Well-posedness in H^1 for the (generalized) Benjamin-Ono equation on the circle},
  author = {Luc Molinet and Francis Ribaud},
  journal= {arXiv preprint arXiv:math/0601215},
  year   = {2007}
}

Comments

27 pages