58 citations · 168 across the 15 of their papers we have counts for
9 papers · 1 filter
Dispersion for the wave and Schrödinger equations outside a ball and counterexamples
Oana Ivanovici
We consider the wave equation with Dirichlet boundary conditions in the exterior of the unit ball of . For , we obtain a global in time parametrix a…
Strichartz estimates for the wave equation on a 2d model convex domain
Oana Ivanovici, Gilles Lebeau, Fabrice Planchon
We prove better Strichartz type estimates than expected from the (optimal) dispersion we obtained in our earlier work on a 2d convex model. This follows from taking full advantage…
Spectral Inequalities for the Schr{ö}dinger operator
Gilles Lebeau, Iván Moyano
In this paper we deal with the so-called "spectral inequalities", which yield a sharp quantification of the unique continuation for the spectral family associated with the Schrödin…
Diffusion approximation for Fokker Planck with heavy tail equilibria : a spectral method in dimension 1
Gilles Lebeau, Marjolaine Puel
This paper is devoted to the diffusion approximation for the 1-d Fokker Planck equation with a heavy tail equilibria of the form (1+v^2)^{-β/2}, in the range beta\in ]1,5[. We prov…
The Green function for waves on the -regular Bethe lattice
Kaïs Ammari, Gilles Lebeau
In this paper, we compute an explicit analytic expression for the Green function of the wave operator on the -regular lattice called the "Bethe lattice" equipped with its standa…
Dispersion for the wave equation outside a ball and counterexamples
Oana Ivanovici, Gilles Lebeau
The purpose of this note is to prove dispersive estimates for the wave equation outside a ball in R^d. If d = 3, we show that the linear flow satisfies the dispersive estimates as…