Estimates for the Boltzmann collision operator via radial symmetry and Fourier transform

被引：13

作者：

Alonso, Ricardo J. ^{[1
]}

Carneiro, Emanuel ^{[1
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

ADVANCES IN MATHEMATICS | 2010年 / 223卷 / 02期

关键词：

Boltzmann equation; Fourier transform; Radial symmetry; Young's inequality; EQUATION;

D O I：

10.1016/j.aim.2009.08.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the L(P)-theory of the Boltzmann collision operator by using classical techniques based in the Carlerman representation and Fourier analysis, allied to new ideas that exploit the radial symmetry of this operator. We are then able to greatly simplify existent technical proofs in this theory, extend the range, and obtain explicit sharp constants in some convolution-like inequalities for the gain part of the Boltzmann collision operator. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：511 / 528

页数：18