Xiaofen Gao

activity

20192025

collaborators

5 papers

math.AP2025

Strichartz estimates for Critical magnetic Schrödinger operators on flat Euclidean cones

Xiaofen Gao, Jialu Wang, Chengbin Xu +1

In this paper, we study Schrödinger operator $H_{A}$ perturbed by critical magnetic potentials on the 2D flat cone $Σ= C(\mathbb{S}_ρ^1) = (0, \infty) \times \ma…

math.AP2025

$L^{p}$ -estimates for the wave equation with critical magnetic potential on conical manifolds

Xiaofen Gao, Jialu Wang, Chengbin Xu +1

In this paper, we consider a class of conical singular spaces $Σ = (0, \infty)_{r} \times Y$ equipped with the metric $g = d r^{2} + r^{2} h$ , where the cross section $Y$ is a compact $(n…

math.AP2021

Dispersive estimates for two-particles Schrödinger and wave equations in the Aharonov-Bohm field

Xiaofen Gao, Junyong Zhang, Jiqiang Zheng

We study the dispersive behaviors of two-particles Schrödinger and wave equations in the Aharonov-Bohm field. In particular, we prove the Strichartz estimates for Schrödinger and w…

math.AP2020

Restriction estimates in a conical singular space: wave equation

Xiaofen Gao, Junyong Zhang, Jiqiang Zheng

We study the restriction estimates in a class of conical singular space $X = C (Y) = (0, \infty)_{r} \times Y$ with the metric $g = d r^{2} + r^{2} h$ , where the cross section $Y$ is a compa…

math.AP2019

Scattering theory for nls with inverse-square potential in 2d

Xiaofen Gao, Chengbin Xu

In this paper, we study the long time behavior of the solution of nonlinear Schrödinger equation with a singular potential. We prove scattering below the ground state for the radia…