English

Bilinear local smoothing estimate for Airy equation

Analysis of PDEs 2011-08-03 v2

Abstract

In this short note, we prove a refinement of bilinear local smoothing estimate to Airy solutions, when the frequency support of two wave are separated. As an application we prove a smoothing property of a bilinear form.

Keywords

Cite

@article{arxiv.1009.0722,
  title  = {Bilinear local smoothing estimate for Airy equation},
  author = {Soonsik Kwon and Tristan Roy},
  journal= {arXiv preprint arXiv:1009.0722},
  year   = {2011}
}

Comments

8 page, removed the application to critical gKdV part

R2 v1 2026-06-21T16:09:14.231Z