Littlewood-Paley theory andregularity issues in Boltzmann homogeneous equations II. Non cutoff case and non Maxwellian molecules

Radjesvarane Alexandre; Mouhamad Elsafadi

doi:10.3934/dcds.2009.24.1

Article Contents

2009, Volume 24, Issue 1: 1-11. Doi: 10.3934/dcds.2009.24.1

This issue Previous Article Preface Next Article On the retention of the interfaces in some elliptic and parabolic nonlinear problems

Littlewood-Paley theory and regularity issues in Boltzmann homogeneous equations II. Non cutoff case and non Maxwellian molecules

Radjesvarane Alexandre^1, and
Mouhamad Elsafadi^2,

1.
IRENAV, French Naval Academy, 29240 BREST ARMEES
2.
MAPMO UMR 6628, Universit´e d’Orléans, BP 6759, 45067 Orléans Cedex 2

Received: September 30, 2007

Revised: February 29, 2008

Published: December 2008

Abstract Related Papers Cited by

Abstract

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.

Keywords:

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

Citation:

Article Metrics

HTML views() PDF downloads(95) Cited by(0)

Littlewood-Paley theory and regularity issues in Boltzmann homogeneous equations II. Non cutoff case and non Maxwellian molecules

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Littlewood-Paley theory and regularity issues in Boltzmann homogeneous equations II. Non cutoff case and non Maxwellian molecules

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content