LITTLEWOOD-PALEY THEORY AND REGULARITY ISSUES IN BOLTZMANN HOMOGENEOUS EQUATIONS II. NON CUTOFF CASE AND NON MAXWELLIAN MOLECULES

被引：29

作者：

Alexandre, Radjesvarane ^{[1
]}

Elsafadi, Mouhamad ^{[2
]}

机构：

[1] Ecole Navale, IRENAV, French Naval Acad, F-29240 Brest Armees, France

[2] Univ Orleans, MAPMO, UMR 6628, F-45067 Orleans 2, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 24卷 / 01期

关键词：

Dimension theory; Poincare recurrences; multifractal analysis; SMOOTHNESS;

D O I：

10.3934/dcds.2009.24.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use Littlewood-Paley theory for the analysis of regularization properties of weak solutions of the homogeneous Boltzmann equation. For non cutoff and non Maxwellian molecules,we show that such solutions are smoother than the initial data. In particular, our method applies to any weak solution, though we assume that it belongs to a weighted L-2 space.

引用

页码：1 / 11

页数：11

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