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20172022
most citedGlobal well-posedness and scattering of the two dimensional cubic focusing nonlinear Schrödinger system

2 citations · 4 across the 3 of their papers we have counts for

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math.AP20222 cited

Global well-posedness and scattering of the two dimensional cubic focusing nonlinear Schrödinger system

Xing Cheng, Zihua Guo, Gyeongha Hwang +1

In this article, we prove the global well-posedness and scattering of the cubic focusing infinite coupled nonlinear Schrödinger system on below the threshold in $L_x…

math.AP20191 cited

Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold

Xing Cheng, Zehua Zhao, Jiqiang Zheng

In this article, we utilize the scale-invariant Strichartz estimate on waveguide which is developed recently by Barron \cite{Barron} based on Bourgain-Demeter decoupling meth…

math.AP20191 cited

Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equations

Xing Cheng

We consider the Cauchy problem for the nonlinear Schrödinger equation with double nonlinearities with opposite sign, with one term is mass-critical and the other term is mass-super…

math.AP2018

On scattering for the defocusing quintic nonlinear Schrödinger equation on the two-dimensional cylinder

Xing Cheng, Zihua Guo, Zehua Zhao

In this article, we prove the scattering for the quintic defocusing nonlinear Schrödinger equation on cylinder in . We establish an abstract lin…

math.AP2017

On scattering for the cubic defocusing nonlinear Schrödinger equation on waveguide

Xing Cheng, Zihua Guo, Kailong Yang +1

In this article, we will show the global wellposedness and scattering of the cubic defocusing nonlinear Schrödinger equation on waveguide in .…