### Almost sure global well-posedness for the radial nonlinear Schrödinger equation on the unit ball II: the 3d case

We extend the convergence method introduced in our works [8–10] for almost sure global well-posedness of Gibbs measure evolutions of the nonlinear Schrödinger (NLS) and nonlinear wave (NLW) equations on the unit ball in ${\mathbb{R}}^{d}$ to the case of the three dimensional NLS. This is the first probabilistic global well-posedness result for NLS with supercritical data on the unit ball in ${\mathbb{R}}^{3}$. The initial data is taken as a Gaussian random process lying in the support of the Gibbs measure associated to the equation,...