77 citations · 284 across the 43 of their papers we have counts for
Showing 2016 · math.APShow all
3 papers · 2 filters
math.AP2016★ 1 cited
Dispersive estimates for the Dirac equation in an Aharonov-Bohm field
Federico Cacciafesta, Luca Fanelli
We prove local smoothing and weighted Strichartz estimates for the Dirac equation with a Aharonov-Bohm potential. The proof relies on an explicit representation of the solution bui…
math.AP2016
Weak dispersive estimates for fractional Aharonov-Bohm-Schrödinger groups
F. Cacciafesta, L. Fanelli
We prove local smoothing, local energy decay and weighted Strichartz inequalities for fractional Schrödinger equations with a Aharonov-Bohm magnetic field in 2D. Explicit represent…
math.AP2016
Gaussian decay of Harmonic Oscillators and related models
Biagio Cassano, Luca Fanelli
We prove that the decay of the eigenfunctions of harmonic oscillators, uniform electric or magnetic fields is not stable under 0-order complex perturbations, even if bounded, of th…