4 citations · 8 across the 6 of their papers we have counts for
14 papers · 1 filter
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…
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…
A note on minimal mass blow up for inhomogeneous NLS
Chenjie Fan, Shumao Wang
We revisit the work of \cite{raphael2011existence} on the minimal mass blow up solution for , and extend the construction of such a solution to the $k\in C…
On decaying properties of nonlinear Schrödinger equations
Chenjie Fan, Gigliola Staffilani, Zehua Zhao
In this paper we discuss quantitative (pointwise) decay estimates for solutions to the 3D cubic defocusing Nonlinear Schrödinger equation with various initial data, deterministic a…
A note on decay property of nonlinear Schrödinger equations
Chenjie Fan, Zehua Zhao
In this note, we show the existence of a special solution to defocusing cubic NLS in , which lives in for all , but scatters to a linear solution in a very slo…
A note on log-log blow up solutions for stochastic nonlinear Schrödinger equations
Chenjie Fan, Yiming Su, Deng Zhang
In this short note, we present a construction for the log-log blow up solutions to focusing mass-critical stochastic nonlinear Schröidnger equations with multiplicative noises. The…