58 citations · 168 across the 15 of their papers we have counts for
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math.AP2017
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…
math.AP2017
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…
math.AP2017
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…