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math.AP2005
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…
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…