L. Fanelli

activity

20052026

most citedL^p boundedness of the wave operator for the one dimensional Schroedinger operator

77 citations · 284 across the 43 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

math.AP2009

Virial identity and weak dispersion for the magnetic Dirac equation

Nabile Boussaid, Piero D'Ancona, Luca Fanelli

We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strich…

math.AP2009

Counterexamples to Strichartz estimates for the magnetic Schroedinger equation

Luca Fanelli, Andoni Garcia

In space dimension $n \geq 3$ , we consider the magnetic Schrödinger Hamiltonian $H = - (\nabla - i A (x))^{2}$ and the corresponding Schrödinger equation i\partial_tu+Hu=0. We show some expli…

math.AP2009★ 7 cited

Endpoint Strichartz estimates for the magnetic Schrodinger equation

Piero D'Ancona, Luca Fanelli, Luis Vega +1

We prove Strichartz estimates for the Schroedinger equation with an electromagnetic potential, in dimension $n \geq 3$ . The decay and regularity assumptions on the potentials are alm…