4 citations · 8 across the 5 of their papers we have counts for
12 papers
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…
On long time behavior for stochastic nonlinear Schrödinger equations with a multiplicative noise
Chenjie Fan, Zehua Zhao
In this article, we study Stochastic mass critical nonlinear Schrödinger equations with a multiplicative noise in 3D with a slight time decay (), and prove…
Construction of log-log blowup solutions for the mass critical nonlinear Schrödinger equation
Chenjie Fan, Dana Mendelson
In this article, we study the log-log blowup dynamics for the mass critical nonlinear Schrödinger equation on under rough but structured random perturbations at $L…
Decay estimates for nonlinear Schrödinger equations
Chenjie Fan, Zehua Zhao
In this short note, we present some decay estimates for nonlinear solutions of 3d quintic, 3d cubic and 2d quintic NLS (nonlinear Schrödinger equations).