6 papers
-estimates for the wave equation with partial inverse-square potentials
Jialu Wang, Chengbin Xu, Fang Zhang +1
This paper investigates -estimates for solutions to the wave equation perturbed by a scaling-critical partial inverse-square potential. We study a model in which the singulari…
-estimates for the wave equation with critical magnetic field in higher dimensions
Jialu Wang, Chengbin Xu, Fang Zhang
In this paper, we study the -estimates for the solution to the wave equation with a scaling-critical magnetic potential in Euclidean with . Inspired by the wor…
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 perturbed by critical magnetic potentials on the 2D flat cone $Σ= C(\mathbb{S}_Ï^1) = (0, \infty) \times…
-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 equipped with the metric , where the cross section is a compact $(…
-estimates for the 2D wave equation in the scaling-critical magnetic field
Jialu Wang, Fang Zhang, Junyong Zhang +1
In this paper, we study the -estimates for the solution to the -wave equation with a scaling-critical magnetic potential. Inspired by the work of \cite{FZZ}, we…
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 energy-critical nonlinear Schrödinger equation with an inverse-square operator $\mathcal{L…