80 citations · 286 across the 38 of their papers we have counts for
6 papers · 2 filters
Global well-posedness for Schrödinger equation with derivative in
Changxing Miao, Yifei Wu, Guixiang Xu
In this paper, we consider the Cauchy problem of the cubic nonlinear Schrödinger equation with derivative in . This equation was known to be the local well-posedness for $…
The Cauchy Problem of the Schrödinger-Korteweg-de Vries System
Yifei Wu
We study the Cauchy problem of the Schrödinger-Korteweg-de Vries system. First, we establish the local well-posedness results, which improve the results of Corcho, Linares (2007).…
Global Attractor for Weakly Damped Forced KdV Equation in Low Regularity on T
Yongsheng Li, Yifei Wu
In this paper we consider the long time behavior of the weakly damped, forced Korteweg-de Vries equation in the Sololev spaces of the negative indices in the periodic case. We prov…
On a quadratic nonlinear Schrödinger equation: sharp well-posedness and ill-posedness
Yongsheng Li, Yifei Wu
We study the initial value problem of the quadratic nonlinear Schrödinger equation where $u:\R\times \R\to \C$. We prove that it's locally well-posed in…
Global well-posedness for the Benjamin equation in low regularity
Yongsheng Li, Yifei Wu
In this paper we consider the initial value problem of the Benjamin equation where $u:\R\times [0,T]\map…
The low regularity global solutions for the critical generalized KdV equation
Changxing Miao, Shuanglin Shao, Yifei Wu +1
We prove that the Cauchy problem of the mass-critical generalized KdV equation is globally well-posed in Sobolev spaces for . Of course, we require that the mass…