77 citations · 253 across the 37 of their papers we have counts for
42 papers
A Phase Space Criterion for Dynamical Amrein-Berthier Uncertainty
Piero D'Ancona, Diego Fiorletta, Fabio Nicola
We prove a phase space criterion for dynamical Amrein-Berthier uncertainty principles. The abstract result says that, for a Fourier integral operator associated with…
Dynamical Amrein-Berthier Uncertainty for Fractional Schrödinger Flows
Piero D'Ancona, Diego Fiorletta
We prove dynamical Amrein-Berthier uncertainty principles for fractional Schrödinger flows. For the free Hamiltonian on , with , we sho…
Scattering for the defocusing NLS on the line with variable coefficients
Piero D'Ancona, Angelo Zanni
We prove scattering for a defocusing NLS on the line with fully variable coefficients. The result is proved by adapting the Kenig--Merle scheme to a non translation invaria…
On the supercritical Schrödinger equation on the exterior of a ball
Piero D'Ancona
We consider the mixed problem on the exterior of the unit ball in , , for a defocusing Schrödinger equation with a power nonlinearity , with zero…
Global Strichartz estimates for an inhomogeneous Maxwell system
Piero D'Ancona, Roland Schnaubelt
We show global-in-time Strichartz estimates for the isotropic Maxwell system with divergence free data. On the scalar permittivity and permeability we impose decay assumptions as $…
Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators
Piero D'Ancona, Luca Fanelli, David Krejcirik +1
This note aims to give prominence to some new results on the absence and localization of eigenvalues for the Dirac and Klein-Gordon operators, starting from known resolvent estimat…