# Subcritical approximations to stochastic defocusing mass-critical nonlinear Schr\"odinger equation on $\mathbb{R}$

Research paper by Chenjie Fan, Weijun Xu

Indexed on: 22 Oct '18Published on: 22 Oct '18Published in: arXiv - Mathematics - Analysis of PDEs

#### Abstract

We show robustness of various truncated and subcritical approximations to the stochastic defocusing mass-critical nonlinear Schr\"odinger equation (NLS) in dimension $d=1$, whose solution was constructed in [FX18] with one particular such approximation. The key ingredient in the proof is a uniform bound of the solutions to the family of deterministic mass-subcritical defocusing NLS.