Zhiqing Yin

collaborators

4 papers

math.AP2025

Uniform resolvent estimates for magnetic operators

Piero D'Ancona, Zhiqing Yin

We prove Kenig--Ruiz--Sogge type uniform resolvent estimates for selfadjoint magnetic Schrödinger operators $H = (i \partial + A (x))^{2} + V (x)$ on $R^{n}$ , $n \geq 3$ . Under suitable…

math.AP2025

Dispersive and Strichartz estimates for Dirac equation in a cosmic string spacetime

Piero D'Ancona, Zhiqing Yin, Junyong Zhang

In this work we study the Dirac equation on the cosmic string background, which models a one--dimensional topological defect in the spacetime. We first define the Dirac operator in…

math.AP2024

Decay estimates for massive Dirac equation in a constant magnetic field

Zhiqing Yin

We study the deacy and Strichartz estimates for the massive Dirac Hamiltonian in a constant magnetic fields in $R_{t} \times R_{x}^{2}$ : \begin{equation*} \begin{cases} i…

math.AP2024

Dispersive estimates for Dirac equations in Aharonov-Bohm magnetic fields: massless case

Federico Cacciafesta, Piero D'Ancona, Zhiqing Yin +1

In this paper we study the dispersive properties of a two dimensional massless Dirac equation perturbed by an Aharonov--Bohm magnetic field. Our main results will be a family of po…