Stochastic nonlinear Schrödinger equation with almost space-time white noise

Justin Forlano, Tadahiro Oh, Yuzhao Wang

Research output: Contribution to journalArticlepeer-review


We study the stochastic cubic nonlinear Schrödinger equation (SNLS) with an additive noise on the one-dimensional torus. In particular, we prove local well-posedness of the (renormalized) SNLS when the noise is almost space-time white noise. We also discuss a notion of criticality in this stochastic context, comparing the situation with the stochastic cubic heat equation (also known as the stochastic quantization equation).
Original languageEnglish
Pages (from-to)44 - 67
Number of pages24
JournalJournal of the australian mathematical society
Issue number1
Early online date21 Jun 2019
Publication statusPublished - 31 Aug 2020


Dive into the research topics of 'Stochastic nonlinear Schrödinger equation with almost space-time white noise'. Together they form a unique fingerprint.

Cite this