Sharp gaussian decay along magnetic Schrodinger flows
Luca Fanelli,
(Universita di Roma "La Sapienza")
21/03/2013
We will present some new results about the strongest possible
gaussian decay, at two distinct times, of solutions to Schrodinger
equations with magnetic potentials. This follows a program started in the
recent years by Escauriaza-Kenig-Ponce-Vega, with the aim to understand,
by real analytical techniques, the logaritmic-convexity properties (in
time) of weighted $L^2$-norms, with gaussian weights, of Schrodinger
propagators, in connection with Hardy's uncertainty principles.
The results are obtained in collaboration with Biagio Cassano