6 papers · 1 filter
Long Range Asymptotics for the Quadratic Aharonov-Bohm NLS
Piero D'Ancona, Tohru Ozawa
We study the long range behavior of solutions to on , where is the Friedrichs realization of the Aharonov-Bohm Hamiltonian with a singl…
Quantitative uniform resolvent estimates
Piero D'Ancona, Jérémy Faupin, David Krejcirik
We derive quantitative uniform resolvent estimates for Schrödinger operators on the half-line with inverse-square potentials, which provide a sharp behaviour in the limit of large…
A dynamical Amrein-Berthier uncertainty principle
Piero D'Ancona, Diego Fiorletta
Given a selfadjoint magnetic Schrödinger operator \begin{equation*} H = ( i \partial + A(x) )^2 + V(x) \end{equation*} on , with strictly subquadratic a…
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 on , . Under suitable…
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…
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…