Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Pierfelice, Vittoria"'
We establish sharp-in-time kernel and dispersive estimates for the Schr\"odinger equation on non-compact Riemannian symmetric spaces of any rank. Due to the particular geometry at infinity and the Kunze-Stein phenomenon, these properties are more pro
Externí odkaz:
http://arxiv.org/abs/2104.00265
Publikováno v:
In Journal of Differential Equations 25 May 2023 356:163-187
Autor:
Maheux, Patrick, Pierfelice, Vittoria
In this paper, we shall study the parabolic-elliptic Keller-Segel system on the Poincar{\'e} disk model of the 2D-hyperbolic space. We shall investigate how the negative curvature of this Riemannian manifold influences the solutions of this system. A
Externí odkaz:
http://arxiv.org/abs/1810.08502
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 applications to ultracontractive bounds of semigroups. Hardy's inequalities
Externí odkaz:
http://arxiv.org/abs/1412.1627
Autor:
Pierfelice, Vittoria
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. These estimates will be used to prove Fujita-Kato type theorems
Externí odkaz:
http://arxiv.org/abs/1406.1644
Publikováno v:
Anal. PDE 7 (2014) 953-995
We consider the Klein--Gordon equation associated with the Laplace--Beltrami operator $\Delta$ on real hyperbolic spaces of dimension $n\!\ge\!2$; as $\Delta$ has a spectral gap, the wave equation is a particular case of our study. After a careful ke
Externí odkaz:
http://arxiv.org/abs/1104.0177
We study the dispersive properties of the wave equation associated with the shifted Laplace-Beltrami operator on Damek-Ricci spaces, and deduce Strichartz estimates for a large family of admissible pairs. As an application, we obtain global well-pose
Externí odkaz:
http://arxiv.org/abs/1012.0689
Autor:
Pierfelice, Vittoria
We prove a general dispersive estimate for a Schroedinger type equation on a product manifold, under the assumption that the equation restricted to each factor satisfies suitable dispersive estimates. Among the applications are the two-particle Schro
Externí odkaz:
http://arxiv.org/abs/1012.0442
In this paper, we study the dispersive properties of the wave equation associated with the shifted Laplace-Beltrami operator on real hyperbolic spaces, and deduce Strichartz estimates for a large family of admissible pairs. As an application, we obta
Externí odkaz:
http://arxiv.org/abs/1010.2372
In this paper we consider the Laplace-Beltrami operator \Delta on Damek-Ricci spaces and derive pointwise estimates for the kernel of exp(\tau \Delta), when \tau \in C* with Re(\tau) \geq 0. When \tau \in iR*, we obtain in particular pointwise estima
Externí odkaz:
http://arxiv.org/abs/1010.2137