6 citations · 14 across the 6 of their papers we have counts for
3 papers · 2 filters
The wave equation on Damek-Ricci spaces
Jean-Philippe Anker, Vittoria Pierfelice, Maria Vallarino
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 fam…
Dispersive estimates and NLS on product manifolds
Vittoria Pierfelice
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 d…
Schrödinger equation on Damek-Ricci spaces
Jean-Philippe Anker, Vittoria Pierfelice, Maria Vallarino
In this paper we consider the Laplace-Beltrami operator Δon Damek-Ricci spaces and derive pointwise estimates for the kernel of exp(τΔ), when τ\in C* with Re(τ) \geq 0. When τ\in i…