7 citations · 21 across the 6 of their papers we have counts for
4 papers · 1 filter
L^p boundedness of the wave operator for the one dimensional Schroedinger operator
Piero D'Ancona, Luca Fanelli
Given a one dimensional perturbed Schroedinger operator H=-(d/dx)^2+V(x) we consider the associated wave operators W_+, W_- defined as the strong L^2 limits as s-> \pm\infty of the…
Dispersive estimate for the Schroedinger equation with point interactions
Piero D'Ancona, Vittoria Pierfelice, Alessandro Teta
We consider the Schroedinger operator in R^3 with N point interactions placed at Y=(y_1, ... ,y_N), y_j in R^3, of strength a=(a_1, ... ,a_N). Exploiting the spectral theorem and t…
Decay estimates for the wave and Dirac equations with a magnetic potential
Piero D'Ancona, Luca Fanelli
We study the dispersive properties of the wave equation and the massless Dirac equation in three space dimensions, perturbed with electromagnetic potentials. The potentials are ass…
Some remarks on the Schrödinger equation with a potential in
Piero D'Ancona, Vittoria Pierfelice, Nicola Visciglia
We study the dispersive properties of the linear Schrödinger equation with a time-dependent potential . We show that an appropriate integrability condition in space and tim…