77 citations · 284 across the 43 of their papers we have counts for
4 papers · 2 filters
Uniform resolvent estimates for critical magnetic Schrödinger operators in 2D
Luca Fanelli, Junyong Zhang, Jiqiang Zheng
We study the -type uniform resolvent estimates for 2D-Schrödinger operators in scaling-critical magnetic fields, involving the Aharonov-Bohm model as a main example. As an…
Mass Propagation for Electromagnetic Schrödinger Evolutions
Juan Antonio Barceló, Biagio Cassano, Luca Fanelli
We investigate the validity of gaussian lower bounds for solutions to an electromagnetic Schrödinger equation with a bounded time-dependent complex electric potential and a time-in…
Kato-Ponce estimates for fractional sublaplacians
L. Fanelli, L. Roncal
We give a proof of commutator estimates for fractional powers of the sublaplacian on the Heisenberg group. Our approach is based on pointwise and estimates involving square f…
Improved Hardy-Rellich inequalities
Biagio Cassano, Lucrezia Cossetti, Luca Fanelli
We investigate Hardy-Rellich inequalities for perturbed Laplacians. In particular, we show that a non-trivial angular perturbation of the free operator typically improves the inequ…