On scattering for the quintic defocusing nonlinear Schrödinger equation on \R \times \T^2

Abstract

We consider the problem of large data scattering for the quintic nonlinear Schrödinger 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.

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