3 papers
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 with the metric , where the cross section 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…