2 papers
math.AP2026
On blow up NLS with a multiplicative noise
Chenjie Fan, Junzhe Wang
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 no…
math.AP2025
On a large deviation principle for 1d cubic NLS with optimal decaying data
Chenjie Fan, Feng Ye
In this article, we revisit the work of \cite{garrido2023large}, and prove large deviation principles for more general random initial data for cubic NLS. The Fourier coefficient of…