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

作者：Alexandre Radjesvarane^*; Elsafadi Mouhamad

来源：Discrete and Continuous Dynamical Systems, 2009, 24(1): 1-11.

DOI：10.3934/dcds.2009.24.1

• Dimension theory
• Poincare recurrences
• multifractal analysis

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.

• 出版日期2009-5
• 单位中国人民解放军海军大连舰艇学院