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

页码：1975 / 2021

页数：47

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

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