Piero D’Ancona

collaborators

4 papers

math.AP2026

Long Range Asymptotics for the Quadratic Aharonov-Bohm NLS

Piero D'Ancona, Tohru Ozawa

We study the long range behavior of solutions to $i \partial_{t} u = H_{α} u + λ ∣ u ∣ u$ on $R^{2}$ , where $H_{α}$ is the Friedrichs realization of the Aharonov-Bohm Hamiltonian with a singl…

math.AP2026

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…

math.AP2025

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 $L^{2} (R^{n})$ , with $V (x)$ strictly subquadratic a…

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…