Junyong Zhang

collaborators

6 papers

math.AP2025

Bochner-Riesz means on a conical singular manifold

Qiuye Jia, Junyong Zhang, Jiqiang Zheng

We prove a sharp $L^{p}$ -boundedness criterion for Bochner-Riesz multipliers on flat cones $X = (0, \infty) \times S_{I ¨} ^{1}$ . The operator $S_{I^} »^{I^} ´ (I^_{X})$ is bounded on $L^p(X)…

math.AP2025

Negative Order Bochner-Riesz Operators for the Critical Magnetic SchrÃ¶dinger Operator in $R^{2}$

Huanqing Guo, Junyong Zhang, Jiqiang Zheng

This paper studies the sharp $L^{p}$ - $L^{q}$ boundedness of the Bochner-Riesz operator $S^{I^} ´_{I^} » (L_{A})$ associated with a scaling-critical magnetic SchrÃ¶dinger oper…

math.AP2025

Pointwise dispersive estimates for Schrodinger and wave equations in a conical singular space

Qiuye Jia, Junyong Zhang

We study the pointwise decay estimates for the Schrödinger and wave equations on a product cone $(X, g)$ , where the metric $g = d r^{2} + r^{2} h$ and $X = C (Y) = (0, \infty) \times Y$ is a produc…

math.AP2025

$L^{p}$ -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 $L^{p}$ -estimates for the solution to the $2 D$ -wave equation with a scaling-critical magnetic potential. Inspired by the work of \cite{FZZ}, we…

math.AP2024

Intertwining operators beyond the Stark Effect

Luca Fanelli, Xiaoyan Su, Ying Wang +2

The main mathematical manifestation of the Stark effect in quantum mechanics is the shift and the formation of clusters of eigenvalues when a spherical Hamiltonian is perturbed by…

math.AP2024

Global-in-time Strichartz estimates and cubic SchrÃ¶dinger equation in a conical singular space

Junyong Zhang, Jiqiang Zheng

In this paper, we study Strichartz estimates for the SchrÃ¶dinger equation on a metric cone $X$ , where $X = C (Y) = (0, \infty)_{r} \times Y$ and the cross section $Y$ is a $(n - 1)$ -dimensio…

Bochner-Riesz means on a conical singular manifold

Negative Order Bochner-Riesz Operators for the Critical Magnetic SchrÃ¶dinger Operator in R2

Pointwise dispersive estimates for Schrodinger and wave equations in a conical singular space

Lp-estimates for the 2D wave equation in the scaling-critical magnetic field

Intertwining operators beyond the Stark Effect

Global-in-time Strichartz estimates and cubic SchrÃ¶dinger equation in a conical singular space

Negative Order Bochner-Riesz Operators for the Critical Magnetic SchrÃ¶dinger Operator in $R^{2}$

$L^{p}$ -estimates for the 2D wave equation in the scaling-critical magnetic field