Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ${\mathbb{R}}^3$

Árpád Bényi, Tadahiro Oh, Oana Pocovnicu

We consider the cubic nonlinear Schrödinger equation (NLS) on ${\mathbb{R}}^3$ with randomized initial data. In particular, we study an iterative approach based on a partial power se…