Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on $\mathbb{R}$

Abstract

We show robustness of various truncated and subcritical approximations to the stochastic defocusing mass-critical nonlinear Schrödinger 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.

23 pages. The material of this article is contained in arXiv:1807.04402. The other part of arXiv:1807.04402 has been combined with arXiv:1803.03257 to form another new article arXiv:1810.07925. Only the current paper and arXiv:1810.07925 will be submitted for journal publication