6 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AP2005★ 2 cited
Nonlinear Schrödinger equation on four-dimensional compact manifolds
P. Gérard, V. Pierfelice
We prove two new results about the Cauchy problem for nonlinear Schroedinger equations on four-dimensional compact manifolds. The first one concerns global wellposedness for Hartre…
math.AP2005★ 6 cited
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…
math.AP2003★ 4 cited
On the wave equation with a large rough potential
Piero D'Ancona, Vittoria Pierfelice
We prove an optimal dispersive decay estimate for a three dimensional wave equation perturbed with a large non smooth potential belonging to a particular Kato class. T…