3 papers
math.AP2026
Strichartz estimates for Schrödinger equations with the multipole Aharonov--Bohm Hamiltonian
Mengxuan Yang, Junyong Zhang
We prove global-in-time Strichartz estimates for Schrödinger equations with multipole Aharonov--Bohm Hamiltonians on . As intermediate steps, we prove global-in-time…
math.AP2026
-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…
math.AP2025
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…