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 2007 · math.APShow all

3 papers · 2 filters

math.AP2007★ 42 cited

On the blow up phenomenon for the $L^{2}$ -critical focusing Hartree equation in $R^{4}$

Changxing Miao, Guixiang Xu, Lifeng Zhao

We characterize the dynamics of the finite time blow up solutions with minimal mass for the focusing mass critical Hartree equation with $H^{1} (R^{4})$ data and $L^2(\mathbb{R…

math.AP2007★ 31 cited

Global well-posedness and scattering for the energy-critical, defocusing Hartree equation in $R^{1 + n}$

Changxing Miao, Guixiang Xu, Lifeng Zhao

Using the same induction on energy argument in both frequency space and spatial space simultaneously as in \cite{CKSTT07}, \cite{RyV05} and \cite{Vi05}, we obtain global well-posed…

math.AP2007★ 84 cited

Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data

Changxing Miao, Guixiang Xu, Lifeng Zhao

We consider the defocusing, $H ˙^{1}$ -critical Hartree equation for the radial data in all dimensions $(n \geq 5)$ . We show the global well-posedness and scattering results in the…

On the blow up phenomenon for the L2-critical focusing Hartree equation in R4

Global well-posedness and scattering for the energy-critical, defocusing Hartree equation in R1+n

Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data

On the blow up phenomenon for the $L^{2}$ -critical focusing Hartree equation in $R^{4}$

Global well-posedness and scattering for the energy-critical, defocusing Hartree equation in $R^{1 + n}$