On scattering for the quintic defocusing nonlinear Schr\"odinger equation on \R \times \T^2

Zaher Hani; Benoit Pausader

On scattering for the quintic defocusing nonlinear Schr\"odinger equation on \R \times \T^2

Analysis of PDEs 2012-05-31 v2

Authors: Zaher Hani , Benoit Pausader

Abstract

We consider the problem of large data scattering for the quintic nonlinear Schr\"odinger equation on $\R \times \T^2$ . This equation is critical both at the level of energy and mass. Most notably, we exhibit a new type of profile (a "large scale profile") that controls the asymptotic behavior of the solutions.

Keywords

nonlinear Schrödinger equation scattering quintic defocusing large data profile

Cite

@article{arxiv.1205.6136,
  title  = {On scattering for the quintic defocusing nonlinear Schr\"odinger equation on \R \times \T^2},
  author = {Zaher Hani and Benoit Pausader},
  journal= {arXiv preprint arXiv:1205.6136},
  year   = {2012}
}

Comments

This is the abridged and more reader-friendly version of a longer article (version 1 of arXiv:1205.6132). It can now be found as version 2 of that submission: arXiv:1205.6132

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