Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation Without Angular Cutoff

Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation Without Angular Cutoff

In this paper, we establish optimal hypoelliptic estimates for a class of kinetic equations, which are simplified linear models for the spatially inhomogeneous Boltzmann equation without angular cutoff.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in partial differential equations 2012-02, Vol.37 (2), p.234-284
Hauptverfasser: Lerner, Nicolas, Morimoto, Yoshinori, Pravda-Starov, Karel
Format: Artikel
Sprache:eng
Schlagworte:
Boltzmann equation
Boltzmann equation without angular cutoff
Boltzmann transport equation
Estimates
Hypoelliptic estimates
Hypoellipticity
Kinetic equations
Mathematical analysis
Optimization
Partial differential equations
Regularity
Wick quantization
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we establish optimal hypoelliptic estimates for a class of kinetic equations, which are simplified linear models for the spatially inhomogeneous Boltzmann equation without angular cutoff.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605302.2011.625462