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

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Showing 2021Show all

3 papers · 1 filter

math.AP2021

Nondegeneracy of the positive solutions for critical nonlinear Hartree equation in $R^{6}$

Xuemei Li, Xingdong Tang, Guixiang Xu

We prove that any positive solution for the critical nonlinear Hartree equation $$-\Laplacian\fct{u}{x} -\int_{\R^6} \frac{\abs{\fct{u}{y}}^2 }{ \abs{x-y}^4 }\odif{y} \,\fct{u}{x}=…

math.AP2021

Minimal mass blow-up solutions for the $L^{2}$ -critical NLS with the Delta potential for radial data in one dimension

Xingdong Tang, Guixiang Xu

We consider the $L^{2}$ -critical nonlinear Schrödinger equation (NLS) with the delta potential $i \partial_{t} u + \partial_{x}^{2} u + μ δ u + ∣ u ∣^{4} u = 0, t \in R, x \in R,$ where…

math.AP2021

A Limiting absorption principle for high-order Schrödinger operators in critical spaces

Xiaoyan Su, Chengbin Xu, Guixiang Xu +1

In this paper, we prove a limiting absorption principle for high-order Schrödinger operators with a large class of potentials which generalize some results by A. Ionescu and W. Sch…

Nondegeneracy of the positive solutions for critical nonlinear Hartree equation in R6

Minimal mass blow-up solutions for the L2-critical NLS with the Delta potential for radial data in one dimension

A Limiting absorption principle for high-order Schrödinger operators in critical spaces

Nondegeneracy of the positive solutions for critical nonlinear Hartree equation in $R^{6}$

Minimal mass blow-up solutions for the $L^{2}$ -critical NLS with the Delta potential for radial data in one dimension