Author

Piero D'Ancona

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Preprint Aug 2026

Long Range Asymptotics for the Quadratic Aharonov-Bohm NLS

We study the long range behavior of solutions to $i\partial_tu=H_\alpha u+\lambda|u|u$ on $\mathbb R^2$, where $H_\alpha$ is the Friedrichs realization of the Aharonov-Bohm Hamiltonian with a single pole. The logarithmic phase of the long range ansatz may push a profile out of the domain of $H_{\alpha}$. We characteriz...

Piero D'Ancona, Tohru Ozawa · 0 citations

Preprint Sep 2026

$L^p$ bounds for wave operators with critical electromagnetic potentials

We study the M\o ller wave operators for scaling critical electromagnetic Hamiltonians in the plane. For smooth transverse magnetic and angular electric potentials, with nonnegative angular operator and magnetic flux outside $\frac12\Z$, we prove that the wave operators relative to $-\Delta$ exist, are unitary on $L^2$...

Piero D'Ancona, Xi-Tao Gao, Jun-Yong Zhang · 1 citation