Guixiang Xu

activity

20062023

most citedGlobal wellposedness and scattering for the focusing energy-critical nonlinear Schrodinger equations of fourth order in the radial case

126 citations · 755 across the 30 of their papers we have counts for

collaborators

Showing 2009 · math.APShow all

3 papers · 2 filters

math.AP2009★ 59 cited

Global well-posedness for Schrödinger equation with derivative in $H^{1/2} (R)$

Changxing Miao, Yifei Wu, Guixiang Xu

In this paper, we consider the Cauchy problem of the cubic nonlinear Schrödinger equation with derivative in $H^{s} (R)$ . This equation was known to be the local well-posedness for $…

math.AP2009★ 17 cited

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 $H^{s} (R)$ for $s > 6/13$ . Of course, we require that the mass…

math.AP2009

Scattering for the focusing $H ˙^{1/2}$ -critical Hartree equation with radial data

Yanfang Gao, Changxing Miao, Guixiang Xu

We investigate the focusing $H ˙^{1/2}$ -critical nonlinear Schrödinger equation (NLS) of Hartree type $i \partial_{t} u + Δ u = - (∣ \cdot ∣^{- 3} * ∣ u ∣^{2}) u$ with $H ˙^{1/2}$ radi…

Global well-posedness for Schrödinger equation with derivative in H1/2(R)

The low regularity global solutions for the critical generalized KdV equation

Scattering for the focusing H˙1/2-critical Hartree equation with radial data

Global well-posedness for Schrödinger equation with derivative in $H^{1/2} (R)$

Scattering for the focusing $H ˙^{1/2}$ -critical Hartree equation with radial data