77 citations · 284 across the 43 of their papers we have counts for
5 papers · 2 filters
The lack of compactness in the Sobolev-Strichartz inequalities
Luca Fanelli, Nicola Visciglia
We provide a general method to decompose any bounded sequence in into linear dispersive profiles generated by an abstract propagator, with a rest which is small in the a…
On the lack of dispersion for a class of magnetic Dirac flows
Naiara Arrizabalaga, Luca Fanelli, Andoni García
We show that global Strichartz estimates for magnetic Dirac operators generally fails, if the potentials do not decay fast enough at infinity. In order to prove this, we construct…
Carleman estimates and necessary conditions for the existence of waveguides
Luis Escauriaza, Luca Fanelli, Luis Vega
We study via Carleman estimates the sharpest possible exponential decay for {\it waveguide} solutions to the Laplace equation $$(\partial^2_t+\triangle)u=Vu+W\cdot(\partial_t,\nabl…
A priori estimates for the Helmholtz equation with electromagnetic potentials in exterior domains
Juan Antonio Barceló, Luca Fanelli, Alberto Ruiz +1
We study the Helmholtz equation with electromagnetic-type perturbations, in the exterior of a domain, in dimension . We prove, by multiplier techniques in the sense of Mora…
Existence of maximizers for Sobolev-Strichartz inequalities
Luca Fanelli, Luis Vega, Nicola Visciglia
We prove the existence of maximizers of Sobolev-Strichartz estimates for a general class of propagators, involving relevant examples, as for instance the wave, Dirac and the hyperb…