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5 papers · 2 filters
Local dispersive and Strichartz estimates for the Schr{ö}dinger operator on the Heisenberg group
Hajer Bahouri, Isabelle Gallagher
It was proved by H. Bahouri, P. G{é}rard and C.-J. Xu in [9] that the Schr{ö}dinger equation on the Heisenberg group , involving the sublaplacian, is an example of a…
Long-time correlations for a hard-sphere gas at equilibrium
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
It has been known since Lanford [19] that the dynamics of a hard sphere gas is described in the low density limit by the Boltzmann equation, at least for short times. The classical…
Lipschitz estimates on the JKO scheme for the Fokker-Plack equation on bounded convex domains
Vincent Ferrari, Filippo Santambrogio
Given a semi-convex potential V on a convex and bounded domain , we consider the Jordan-Kinderlehrer-Otto scheme for the Fokker-Planck equation with potential V, which defines,…
On the radius of analyticity of solutions to semi-linear parabolic systems
Jean-Yves Chemin, Isabelle Gallagher, Ping Zhang
We study the radius of analyticity~ in space, of strong solutions to systems of scale-invariant semi-linear parabolic equations. It is well-known that near the initial time,~…
Bar codes of persistent cohomology and Arrhenius law for p-forms
Dorian Le Peutrec, Francis Nier, C. Viterbo
This article shows that counting or computing the small eigenvalues of the Witten Laplacian in the semi-classical limit can be done without assuming that the potential is a Morse f…