Weijun Xu

activity

20182021

most citedGlobal well-posedness for the defocusing mass-critical stochastic nonlinear Schrödinger equation on

R

L^{2}

regularity

7 citations · 11 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2021

Long time behavior of stochastic NLS with a small multiplicative noise

Chenjie Fan, Weijun Xu, Zehua Zhao

We prove the global space-time bound for the mass critical nonlinear Schrödinger equation perturbed by a small multiplicative noise in dimension three. The associated scattering be…

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 $R$ . The main ingredient are careful mixtures of bootstra…

math.AP2018★ 1 cited

Decay of the stochastic linear Schrödinger equation in $d \geq 3$ with small multiplicative noise

Chenjie Fan, Weijun Xu

We give decay estimates of the solution to the linear Schrödinger equation in dimension $d \geq 3$ with a small noise which is white in time and colored in space. As a consequence,…

math.AP2018★ 2 cited

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

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 $d = 1$ , whose sol…

math.AP2018★ 7 cited

Global well-posedness for the defocusing mass-critical stochastic nonlinear Schrödinger equation on $R$ at $L^{2}$ regularity

Chenjie Fan, Weijun Xu

We prove global existence and stability of solution to the mass-critical stochastic nonlinear Schrödinger equation in $d = 1$ at $L^{2}$ regularity. Our construction starts with the ex…

math.AP2018★ 1 cited

Global well-posedness for the mass-critical stochastic nonlinear Schrödinger equation on $R$ : general $L^{2}$ 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 $R$ : 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 $d = 1$ . We further show the stability of the solution under pe…

Long time behavior of stochastic NLS with a small multiplicative noise

A Wong-Zakai theorem for the stochastic mass critical NLS

Decay of the stochastic linear Schrödinger equation in d≥3 with small multiplicative noise

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

Global well-posedness for the defocusing mass-critical stochastic nonlinear Schrödinger equation on R at L2 regularity

Global well-posedness for the mass-critical stochastic nonlinear Schrödinger equation on R: general L2 data

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

Decay of the stochastic linear Schrödinger equation in $d \geq 3$ with small multiplicative noise

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

Global well-posedness for the defocusing mass-critical stochastic nonlinear Schrödinger equation on $R$ at $L^{2}$ regularity

Global well-posedness for the mass-critical stochastic nonlinear Schrödinger equation on $R$ : general $L^{2}$ data

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