A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting

Abstract

In this note, we prove almost sure global well-posedness of the energy-critical defocusing nonlinear wave equation on ${\mathbb{T}}^d$, $d=3,4,$ and $5$, with random initial data below the energy space.

arXiv comment25 pages