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 2008 · math.APShow all

5 papers · 2 filters

math.AP2008★ 66 cited

Global wellposedness and scattering for the defocusing energy-critical nonlinear Schrodinger equations of fourth order in dimensions $d \geq 9$

Changxing Miao, Guixiang Xu, Lifeng Zhao

We consider the defocusing energy-critical nonlinear Schrödinger equation of fourth order $i u_{t} + Δ^{2} u = - ∣ u ∣^{\frac{8}{d - 4}} u$ . We prove that any finite energy solution is global and s…

math.AP2008★ 126 cited

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

Changxing Miao, Guixiang Xu, Lifeng Zhao

We consider the focusing energy-critical nonlinear Schrödinger equation of fourth order $i u_{t} + Δ^{2} u = ∣ u ∣^{\frac{8}{d - 4}} u$ . We prove that if a maximal-lifespan radial solution $u: I\t…

math.AP2008★ 31 cited

Global well-posedness and scattering for the defocusing $H^{\frac{1}{2}}$ -subcritical Hartree equation in $R^{d}$

Changxing Miao, Guixiang Xu, Lifeng Zhao

We prove the global well-posedness and scattering for the defocusing $H^{\frac{1}{2}}$ -subcritical (that is, $2 < γ < 3$ ) Hartree equation with low regularity data in $R^{d}$ , $d\ge…

math.AP2008★ 47 cited

Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case

Changxing Miao, Guixiang Xu, Lifeng Zhao

We establish global existence, scattering for radial solutions to the energy-critical focusing Hartree equation with energy and $H ˙^{1}$ norm less than those of the ground state…

math.AP2008★ 79 cited

Global well-posedness and scattering for the mass-critical Hartree equation with radial data

Changxing Miao, Guixiang Xu, Lifeng Zhao

We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Hartree equation $i u_{t} + Δ u = \pm (∣ x ∣^{- 2} * ∣ u ∣^{2}) u$ for large spherically symmetric $L^2_…

Global wellposedness and scattering for the defocusing energy-critical nonlinear Schrodinger equations of fourth order in dimensions d≥9

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

Global well-posedness and scattering for the defocusing H21​-subcritical Hartree equation in Rd

Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case

Global well-posedness and scattering for the mass-critical Hartree equation with radial data

Global wellposedness and scattering for the defocusing energy-critical nonlinear Schrodinger equations of fourth order in dimensions $d \geq 9$

Global well-posedness and scattering for the defocusing $H^{\frac{1}{2}}$ -subcritical Hartree equation in $R^{d}$