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 2008 · math.APShow all

3 papers · 2 filters

math.AP2008

Non-trapping magnetic fields and Morrey-Campanato estimates for Schroedinger operators

Luca Fanelli

We prove some uniform in $ε$ a priori estimates for solutions of the equation $(\nabla - i A)^{2} u - V (x) u + (λ \pm i ε) u = f, λ \geq 0, ε \neq = 0.$ The estimates are obtained in terms of Morrey-C…

math.AP2008

Smoothing estimates for the Schrodinger equation with unbounded potentials

Piero D'Ancona, Luca Fanelli

We prove a local in time smoothing estimate for a magnetic Schrodinger equation with coefficients growing polynomially at spatial infinity. The assumptions on the magnetic field ar…

math.AP2008

Magnetic virial identities, weak dispersion and Strichartz inequalities

Luca Fanelli, Luis Vega

We show a family of virial-type identities for the Schrödinger and wave equations with electromagnetic potentials. As a consequence, some weak dispersive inequalities in space dime…