Chengbin Xu

collaborators

4 papers

math.AP2025

$L^{p}$ -estimates for the wave equation with critical magnetic field in higher dimensions

Jialu Wang, Chengbin Xu, Fang Zhang

In this paper, we study the $L^{p}$ -estimates for the solution to the wave equation with a scaling-critical magnetic potential in Euclidean $R^{N}$ with $N \geq 3$ . Inspired by the wor…

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.AP2024

Decay estimates for Nonlinear Schrödinger equation with the inverse-square potential

Jialu Wang, Chengbin Xu, Fang Zhang

In this paper, we study the dispersive decay estimates for solution to the $3 D$ energy-critical nonlinear Schrödinger equation with an inverse-square operator $\mathcal{L}…

Lp-estimates for the wave equation with critical magnetic field in higher dimensions

Strichartz estimates for Critical magnetic Schrödinger operators on flat Euclidean cones

Lp-estimates for the wave equation with critical magnetic potential on conical manifolds

Decay estimates for Nonlinear Schrödinger equation with the inverse-square potential

$L^{p}$ -estimates for the wave equation with critical magnetic field in higher dimensions

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