On blow up NLS with a multiplicative noise
Analysis of PDEs
2026-04-07 v2 Probability
Abstract
It is of significant interest to understand whether a noise will speed up or prevent blow up. Under certain nondegenerate conditions, \cite{dD2005Blowup} proved a multiplicative noise will speed up blow up of NLS, in the sense that, blow up can happen in any short time with positive probability. We prove that such probability is indeed quite small, and provide a large deviation type upper bound.
Cite
@article{arxiv.2601.19330,
title = {On blow up NLS with a multiplicative noise},
author = {Chenjie Fan and Junzhe Wang},
journal= {arXiv preprint arXiv:2601.19330},
year = {2026}
}
Comments
13 pages, all comments are welcome