English

The lifespan of small data solutions to the KP-I

Analysis of PDEs 2016-06-27 v2

Abstract

We show that for small, localized initial data there exists a global solution to the KP-I equation in a Galilean-invariant space using the method of testing by wave packets.

Keywords

Cite

@article{arxiv.1409.4487,
  title  = {The lifespan of small data solutions to the KP-I},
  author = {Benjamin Harrop-Griffiths and Mihaela Ifrim and Daniel Tataru},
  journal= {arXiv preprint arXiv:1409.4487},
  year   = {2016}
}

Comments

20 pages, minor updates