Piero D’Ancona

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20242026

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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…