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20092022
most citedGlobal well-posedness on the derivative nonlinear Schrödinger equation revisited

80 citations · 286 across the 38 of their papers we have counts for

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30 papers · 1 filter

math.AP2021

Large global solutions for energy-critical nonlinear Schrödinger equation

Ruobing Bai, Jia Shen, Yifei Wu

In this work, we consider the 3D defocusing energy-critical nonlinear Schrödinger equation . Applying the ou…

math.AP2021★ 1 cited

Almost sure scattering for the nonradial energy-critical NLS with arbitrary regularity in 3D and 4D cases

Jia Shen, Avy Soffer, Yifei Wu

In this paper, we study the defocusing energy-critical nonlinear Schrödinger equations When , we prove the almost sure scat…

math.AP2021

Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation

Jia Shen, Avy Soffer, Yifei Wu

We study the random data problem for 3D, defocusing, cubic nonlinear Schrödinger equation in with . First, we prove that the almost sure local wel…

math.AP2020★ 3 cited

Global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation

Jia Shen, Yifei Wu

In this paper, we study the global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation. Recently, Dodson [arXiv:2004.09618] studied the global well-posedness…

math.AP2020

The binormal flow with initial data being polygonal lines and non-uniqueness

Ruobing Bai, Yifei Wu

The compatibility conditions for the equation (2.2) was not considered, the equation should satisfy (1.3). Thank Prof. Valeria Banica for pointing out the mistake.

math.AP2019

Global rough solution for -critical semilinear heat equation in the negative Sobolev space

Avy Soffer, Yifei Wu, Xiaohua Yao

In this paper, we consider the Cauchy global problem for the -critical semilinear heat equations with , where is an unkno…