Existence of local solutions for the Boltzmann equation without angular cutoff

被引：1
|
作者：
Alexandre, Radjesvarane [1 ]
Morimoto, Yoshinori [2 ]
Ukai, Seiji
Xu, Chao-Jiang [3 ]
Yang, Tong [4 ]
机构：
[1] Ecole Navale, IRENAV, BRCM Brest, F-29240 Brest, France
[2] Kyoto Univ, Kyoto 6068501, Japan
[3] Univ Rouen, F-76821 Mont St Aignan, France
[4] City Univ Hong Kong, Hong Kong, Hong Kong, Peoples R China
来源：
COMPTES RENDUS MATHEMATIQUE | 2009年 / 347卷 / 21-22期
关键词：
D O I：
10.1016/j.crma.2009.09.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the spatially inhomogeneous Boltzmann equation without angular cutoff. We prove the existence and uniqueness of local classical solutions to the Cauchy problem, in the function space with Maxwellian type exponential decay with respect to the velocity variable. To cite this article: R. Alexandre et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Published by Elsevier Masson SAS on behalf of Academie des sciences.
引用
收藏
页码：1237 / 1242
页数：6
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