The Boltzmann Equation Without Angular Cutoff in the Whole Space: Qualitative Properties of Solutions

被引：0
|
作者：
R. Alexandre
Y. Morimoto
S. Ukai
C.-J. Xu
T. Yang
机构：
[1] Shanghai Jiao Tong University,Department of Mathematics
[2] Ecole Navale,Irenav, Arts et Metiers Paris Tech
[3] Kyoto University,Graduate School of Human and Environmental Studies
[4] Wuhan University,School of Mathematics and Statistics
[5] Université de Rouen,Department of Mathematics
[6] UMR 6085-CNRS,undefined
[7] Mathématiques,undefined
[8] City University of Hong Kong,undefined
来源：
Archive for Rational Mechanics and Analysis | 2011年 / 202卷
关键词：
Cauchy Problem; Boltzmann Equation; Global Existence; Qualitative Property; Schwarz Inequality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This is a continuation of our series of works for the inhomogeneous Boltzmann equation. We study qualitative properties of classical solutions; the full regularization in all variables, uniqueness, non-negativity and convergence rate to the equilibrium, to be precise. Together with the results of Parts I and II about the well-posedness of the Cauchy problem around the Maxwellian, we conclude this series with a satisfactory mathematical theory for the Boltzmann equation without angular cutoff.
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页码：599 / 661
页数：62
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