most citedDecay of the stochastic linear Schrödinger equation in with small multiplicative noise

1 citations · 1 across the 1 of their papers we have counts for

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5 papers

math.AP2019

A Wong-Zakai theorem for the stochastic mass critical NLS

Chenjie Fan, Weijun Xu

We prove a Wong-Zakai theorem for the defocusing mass-critical stochastic nonlinear Schrödinger equation (NLS) on . The main ingredient are careful mixtures of bootstra…

math.AP2018★ 1 cited

Decay of the stochastic linear Schrödinger equation in with small multiplicative noise

Chenjie Fan, Weijun Xu

We give decay estimates of the solution to the linear Schrödinger equation in dimension with a small noise which is white in time and colored in space. As a consequence,…

math.AP2018

Subcritical approximations to stochastic defocusing mass-critical nonlinear Schrödinger equation on

Chenjie Fan, Weijun Xu

We show robustness of various truncated and subcritical approximations to the stochastic defocusing mass-critical nonlinear Schrödinger equation (NLS) in dimension , whose sol…

math.AP2018

Global well-posedness for the mass-critical stochastic nonlinear Schrödinger equation on : general data

Chenjie Fan, Weijun Xu

We continue our study for the stochastic defocusing mass crtical nonlinear Schrödinger equation with conservative multiplicative noise, and show that it is globally well-posed for…

math.PR2018

Global well-posedness for the mass-critical stochastic nonlinear Schrödinger equation on : small initial data

Chenjie Fan, Weijun Xu

We prove the global existence of solution to the small data mass critical stochastic nonlinear Schrödinger equation in . We further show the stability of the solution under pe…