27 citations · 185 across the 41 of their papers we have counts for
5 papers · 1 filter
The continuous transition of Hamiltonian vector fields through manifolds of constant curvature
Florin Diacu, Slim Ibrahim, Jedrzej Sniatycki
We ask whether Hamiltonian vector fields defined on spaces of constant Gaussian curvature (spheres, for , and hyperbolic spheres, for ), pass continuously through the…
Global dynamics above the ground state energy for the combined power type nonlinear Schrodinger equations with energy critical growth at low frequencies
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +1
We consider the nonlinear Schrodinger equations with combined type local interactions with energy critical growth, and we study the solutions slightly above the ground state thresh…
The Vlasov-Poisson System for Stellar Dynamics in Spaces of Constant Curvature
Florin Diacu, Slim Ibrahim, Crystal Lind +1
We obtain a natural extension of the Vlasov-Poisson system for stellar dynamics to spaces of constant Gaussian curvature : the unit sphere , for , and the…
Errata: Scattering threshold for the focusing nonlinear Klein-Gordon equation
Slim Ibrahim, Nader Masmoudi, Kenji Nakanishi
This article resolves some errors in the paper "Scattering threshold for the focusing nonlinear Klein-Gordon equation", Analysis & PDE 4 (2011) no. 3, 405-460. The errors are in th…
Energy decay for linear dissipative wave equations in exterior domains
Lassaad Aloui, Slim Ibrahim, Moez Khenissi
In earlier works, we have shown the uniform decay of the local energy of the damped wave equation in exterior domain when the damper is spatially localized near captive rays. In or…