5 papers · 1 filter
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…
-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…
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…
Decay estimates for one Aharonov-Bohm solenoid in a uniform magnetic field II: wave equation
Haoran Wang, Fang Zhang, Junyong Zhang
This is the second of a series of papers in which we investigate the decay estimates for dispersive equations with Aharonov-Bohm solenoids in a uniform magnetic field. In our first…
Decay estimates for one Aharonov-Bohm solenoid in a uniform magnetic field I: Schrödinger equation
Haoran Wang, Fang Zhang, Junyong Zhang
This is the first of a series of papers in which we investigate the decay estimates for dispersive equations with Aharonov-Bohm solenoids in a uniform magnetic field. In this first…