English

A Sharp Bilinear Estimate for the Bourgain-type Space with Application to the Benjamin Equation

Analysis of PDEs 2009-08-25 v1

Abstract

This note shows the existence of a sharp bilinear estimate for the Bourgain-type space and gives its application to the optimal local well/ill-posedness of the Cauchy problem for the Benjamin equation.

Keywords

Cite

@article{arxiv.0908.3429,
  title  = {A Sharp Bilinear Estimate for the Bourgain-type Space with Application to the Benjamin Equation},
  author = {Wengu Chen and Jie Xiao},
  journal= {arXiv preprint arXiv:0908.3429},
  year   = {2009}
}

Comments

20 pages

R2 v1 2026-06-21T13:38:23.363Z