A REMARK ON ALMOST SURE GLOBAL WELL-POSEDNESS OF THE ENERGY-CRITICAL DEFOCUSING NONLINEAR WAVE EQUATIONS IN THE PERIODIC SETTING

抄録

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.