59 citations · 165 across the 13 of their papers we have counts for
15 papers
Revisiting the blow-up criterion and the maximal existence time for solutions of the parabolic-elliptic Keller-Segel system in 2d-Euclidean space
Patrick Maheux, Vittoria Pierfelice
In this paper, we revisit the blow-up criteria for the simplest parabolic-elliptic (PKS) system in the 2D Euclidean space, including a consumption term. In the supercritical mass c…
Schrödinger equation on noncompact symmetric spaces
Jean-Philippe Anker, Stefano Meda, Vittoria Pierfelice +2
We establish sharp-in-time kernel and dispersive estimates for the Schrödinger equation on non-compact Riemannian symmetric spaces of any rank. Due to the particular geometry at in…
The Keller-segel System On The 2d-hyperbolic Space
Patrick Maheux, Vittoria Pierfelice
In this paper, we shall study the parabolic-elliptic Keller-Segel system on the Poincar{é} disk model of the 2D-hyperbolic space. We shall investigate how the negative curvature of…
Log-Sobolev inequalities for semi-direct product operators and applications
Piero D'Ancona, Patrick Maheux, Vittoria Pierfelice
We prove logarithmic Sobolev inequalities for semi-direct product operators (see definition in Section 1). We apply our main results to examples of operators and provide some appli…
The incompressible Navier-Stokes equations on non-compact manifolds
Vittoria Pierfelice
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 sp…
Wave and Klein-Gordon equations on hyperbolic spaces
Jean-Philippe Anker, Vittoria Pierfelice
We consider the Klein--Gordon equation associated with the Laplace--Beltrami operator on real hyperbolic spaces of dimension ; as has a spectral gap, the wave eq…