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 Detailed view Article in peer-reviewed journal
 Annales de l'Institut Henri Poincaré Analyse non linéaire 22 (2005) 127-142
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 About $L^p$ estimates for the spatially homogeneous Boltzmann equation
 For the homogeneous Boltzmann equation with (cutoff or non cutoff ) hard potentials, we prove estimates of propagation of Lp norms with a weight $(1+ |x|^2)^q/2$ ($1 < p < +\infty$, $q \in \R_+$ large enough), as well as appearance of such weights. The proof is based on some new functional inequalities for the collision operator, proven by elementary means.
 Keyword(s) : Boltzmann equation – spatially homogeneous – non-cutoff – integrability estimates
 hal-00087260, version 1 http://hal.archives-ouvertes.fr/hal-00087260 oai:hal.archives-ouvertes.fr:hal-00087260 From: Clément Mouhot <> Submitted on: Friday, 21 July 2006 16:34:15 Updated on: Friday, 21 July 2006 17:00:12