F. Cacciafesta

most citedVirial identity and dispersive estimates for the

n

-dimensional Dirac equation

2 citations · 2 across the 2 of their papers we have counts for

collaborators

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math.AP2013

Continuity of the flow of KdV with regard to the Wasserstein metrics and application to an invariant measure

Federico Cacciafesta, Anne-Sophie de Suzzoni

In this paper, we prove the continuity of the flow of KdV on spaces of probability measures with respect to a combination of Wasserstein distances on $H^{s}$ , $s > 0$ and $L^{2}$ . We are…

math.AP2013

The cubic nonlinear Dirac equation

Federico Cacciafesta

We present some results obtained in collaboration with prof. Piero D'Ancona concerning global existence for the 3D cubic non linear massless Dirac equation with a potential for sma…

math.AP2011★ 2 cited

Virial identity and dispersive estimates for the $n$ -dimensional Dirac equation

Federico Cacciafesta

We extend to general dimension $n \geq 1$ the virial identity proved by Boussaid-D'Ancona-Fanelli for the 3D magnetic Dirac equation. As an application we deduce smoothing and Stricha…

math.AP2011

Global small solutions to the critical radial Dirac equation with potential

Federico Cacciafesta

We solve globally a radial cubic Dirac equation perturbed with a small potential, with data of small critical norm $H^{1}$ . The main tool are new endpoint estimates of the perturbe…

Continuity of the flow of KdV with regard to the Wasserstein metrics and application to an invariant measure

The cubic nonlinear Dirac equation

Virial identity and dispersive estimates for the n-dimensional Dirac equation

Global small solutions to the critical radial Dirac equation with potential

Virial identity and dispersive estimates for the $n$ -dimensional Dirac equation