## Differential and Integral Equations

### Global well-posedness of the energy-critical defocusing NLS on rectangular tori in three dimensions

Nils Strunk

#### Abstract

The energy-critical defocusing nonlinear Schrödinger equation on $3$-dimensional rectangular tori is considered. We prove that the global well-posedness result for the standard torus of Ionescu and Pausader extends to this class of manifolds, namely, for any initial data in $H^1$ the solution exists globally in time.

#### Article information

Source
Differential Integral Equations, Volume 28, Number 11/12 (2015), 1069-1084.

Dates
First available in Project Euclid: 18 August 2015