2 papers
math.SP2026
bounds for wave operators with critical electromagnetic potentials
Piero D'Ancona, Xitao Gao, Junyong Zhang
We study the Møller wave operators for scaling critical electromagnetic Hamiltonians in the plane. For smooth transverse magnetic and angular electric potentials, with nonnegative…
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…