English

Dynamics on resonant clusters for the quintic non linear Schr\"odinger equation

Analysis of PDEs 2012-10-30 v1

Abstract

We construct solutions to the quintic nonlinear Schr\"odinger equation on the circle with initial conditions supported on arbitrarily many different resonant clusters. This is a sequel of a work of Beno\^it Gr\'ebert and the second author.

Keywords

Cite

@article{arxiv.1210.7291,
  title  = {Dynamics on resonant clusters for the quintic non linear Schr\"odinger equation},
  author = {Emanuele Haus and Laurent Thomann},
  journal= {arXiv preprint arXiv:1210.7291},
  year   = {2012}
}

Comments

11 pages