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We consider the SchrÃ¶dinger equation with no radial assumption on real hyperbolic spaces. We obtain sharp dispersive and Strichartz estimates for a large family of admissible pairs. As a firstâ€¦ (More)

- PIERO Dâ€™ANCONA, Vittoria Pierfelice
- 2003

We prove an optimal dispersive Lâˆž decay estimate for a three dimensional wave equation perturbed with a large non smooth potential belonging to a particular Kato class. The proof is based on aâ€¦ (More)

â€” We prove two new results about the Cauchy problem in the energy space for nonlinear SchrÃ¶dinger equations on four-dimensional compact manifolds. The first one concerns global well-posedness forâ€¦ (More)

- Piero Dâ€™Ancona, Vittoria Pierfelice
- 2005

We study the dispersive properties of the linear SchrÃ¶dinger equation with a time-dependent potential V (t, x). We show that an appropriate integrability condition in space and time on V , i.e. theâ€¦ (More)

- Vittoria Pierfelice
- Asymptotic Analysis
- 2006

In this paper, we prove Strichartz estimates for the SchrÃ¶dinger and heat equations perturbed with singular and time dependent potentials.

We shall prove dispersive and smoothing estimates for Bochner type laplacians on some non-compact Riemannian manifolds with negative Ricci curvature, in particular on hyperbolic spaces. Theseâ€¦ (More)

- PIERO Dâ€™ANCONA, Vittoria Pierfelice
- 2005

We consider the SchrÃ¶dinger operator in R with N point interactions placed at Y = (y1, . . . , yN ), yj âˆˆ R , of strength Î± = (Î±1, . . . , Î±N ), Î±j âˆˆ R. Exploiting the spectral theorem and the ratherâ€¦ (More)

- Jean-Philippe Anker, Vittoria Pierfelice, Maria Vittoria Vallarino
- 2017

We study the dispersive properties of the wave equation associated with the shifted Laplaceâ€“Beltrami operator on Damekâ€“Ricci spaces, and deduce Strichartz estimates for a large family of admissibleâ€¦ (More)

- Piero Dâ€™Ancona, Patrick Maheux, Vittoria Pierfelice
- 2017

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching andâ€¦ (More)

- PIERO Dâ€™ANCONA, Vittoria Pierfelice
- 2010

The dispersive properties of the wave equation utt + Au = 0 are considered, where A is either the Hermite operator âˆ’âˆ† + |x|2 or the twisted Laplacian âˆ’(âˆ‡x âˆ’ iy)2/2 âˆ’ (âˆ‡y + ix)2/2. In both cases weâ€¦ (More)