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Article Dans Une Revue Annales de l'Institut Henri Poincaré C, Analyse non linéaire Année : 2005

About $L^p$ estimates for the spatially homogeneous Boltzmann equation

Résumé

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.
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Dates et versions

hal-00087260 , version 1 (21-07-2006)

Identifiants

Citer

Laurent Desvillettes, Clément Mouhot. About $L^p$ estimates for the spatially homogeneous Boltzmann equation. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2005, 22, pp.127-142. ⟨10.1016/j.anihpc.2004.03.002⟩. ⟨hal-00087260⟩
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