Integral estimates for a linear singular operator linked with the Boltzmann operator.: Part I:: Small singularities 0-<-v-<-1

被引：17
作者：
Alexandre, Radjesvarane [1 ]
机构：
[1] Univ Evry, Dept Math, Lab Anal & Probabilities, F-91025 Evry, France
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2006年 / 55卷 / 06期
关键词：
Boltzmann equation; Littlewood-Paley theory; singular collision cross sections;
D O I：
10.1512/iumj.2006.55.2861
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give precise integral estimates for a linear operator linked with Boltzmann quadratic operator. This is done for singular cross-sections. We show Calderon-Zygmund and commutators type estimates. In particular, these estimates can be used to deduce some functional properties of Boltzmann operator itself.
引用
收藏
页码：1975 / 2021
页数：47
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