Adapted Linear-Nonlinear Decomposition And Global Well-posedness For Solutions To The Defocusing Cubic Wave Equation On ${\mathbb{R}}^3$

Tristan Roy

We prove global well-posedness for the defocusing cubic wave equation with data in $H^s\times H^{s-1}$, $1>s>13/18$. The main task is to estimate the variation of an almost co…