The energy-critical defocusing NLS on T^3

TL;DR

This paper establishes the global well-posedness of the energy-critical defocusing nonlinear Schrödinger equation on the three-dimensional torus within the Sobolev space H^1.

Contribution

It proves the global well-posedness for the energy-critical defocusing NLS on T^3, extending understanding of nonlinear dispersive equations on compact manifolds.

Findings

Global well-posedness in H^1(T^3) established

Advances understanding of energy-critical NLS on compact manifolds

Provides a foundation for further studies on nonlinear Schrödinger equations on tori

Abstract

We prove global well-posedness in H^1(T^3) for the energy-critical defocusing NLS.