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math.SP2026
bounds for wave operators with critical electromagnetic potentials
Piero D'Ancona, Xitao Gao, Junyong Zhang
We study the Møller wave operators for scaling critical electromagnetic Hamiltonians in the plane. For smooth transverse magnetic and angular electric potentials, with nonnegative…
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 on , where 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…