English

A-priori bounds for KdV equation below $H^{-3/4}$

Analysis of PDEs 2011-12-23 v1

Abstract

We consider the Korteweg-de Vries Equation (KdV) on the real line, and prove that the smooth solutions satisfy a-priori local in time HsH^s bound in terms of the HsH^s size of the initial data for s4/5s\geq -4/5.

Keywords

Cite

@article{arxiv.1112.5177,
  title  = {A-priori bounds for KdV equation below $H^{-3/4}$},
  author = {Baoping Liu},
  journal= {arXiv preprint arXiv:1112.5177},
  year   = {2011}
}