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| Detailed view | Article in peer-reviewed journal |
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| 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 |
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| Laurent Desvillettes1Clément Mouhot2 |
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| 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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| 1: | CMLA - Centre de Mathématiques et de Leurs Applications |
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| 2: | CEREMADE - CEntre de REcherches en MAthématiques de la DEcision |
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| 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 | |
