A direct method for the regularity of the gain term in the Boltzmann equation

被引:34
作者
Lu, XG [1 ]
机构
[1] Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1006/jmaa.1998.6141
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents an essentially simple and direct method to prove the regularizing properties of the collision gain term in the first equation of the Boltzmann hierarchy. Some corollaries of the main results of this paper are given to improve the previous results on the regularity of the gain term in the Boltzmann equation. An extension of a new fundamental result concerning separated variable kernels is also given to some general kernels. (C) 1998 Academic Press.
引用
收藏
页码:409 / 435
页数:27
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