English

Supercritical Nonlinear Schr\"odinger equations: Quasi-Periodic Solutions

Analysis of PDEs 2016-06-08 v3 Dynamical Systems

Abstract

We construct time quasi-periodic solutions to the energy supercritical nonlinear Schr\"odinger equations on the torus in arbitrary dimensions. This introduces a new approach, which could have general applicability.

Keywords

Cite

@article{arxiv.1007.0156,
  title  = {Supercritical Nonlinear Schr\"odinger equations: Quasi-Periodic Solutions},
  author = {W. -M. Wang},
  journal= {arXiv preprint arXiv:1007.0156},
  year   = {2016}
}

Comments

62 pages; Duke Math. J. (to appear)