English

On unconditional well-posedness for the periodic modified korteweg-de vries equation

Analysis of PDEs 2017-10-25 v3

Abstract

We prove that the modified KdV equation is unconditionally well-posed in H s (T) for s \ge 1/3.

Keywords

Cite

@article{arxiv.1607.05483,
  title  = {On unconditional well-posedness for the periodic modified korteweg-de vries equation},
  author = {Luc Molinet and Didier Pilod and Stéphane Vento},
  journal= {arXiv preprint arXiv:1607.05483},
  year   = {2017}
}

Comments

We corrected a flaw in the definition of the extension operator (Page 13) kindly indicated to us by Professor Tsutsumi. Corrected version that has been accepted for publication in Journal of the Mathematical Society of Japan