Gevrey hypoellipticity for a class of kinetic equations

2009/10/16 by Hua Chen, Wei‐Xi Li, Wei-Xi Li +4
Mathematics · #35B #35H #35N #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #math.AP #msc:35B #msc:35H #msc:35N

paper · pdf · doi:10.48550/arxiv.0910.3057

29 pages, Accepted for publication in Communications in Partial Differential Equations

arxiv created 2009/10/16 · openalex publication_date 2009/10/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the Gevrey regularity of weak solutions for a class of linear and semi-linear kinetic equations, which are the linear model of spatially inhomogeneous Boltzmann equations without an angular cutoff.

Citations

• Isotropic Hypoellipticity and Trend to Equilibrium for the Fokker-Planck Equation with a High-Degree Potential

Related

• Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation without Angular Cutoff
• Gevrey Regularity for Solutions of the Non-Cutoff Boltzmann Equation: Spatially Inhomogeneous Case
• Gevrey regularity of spatially homogeneous Boltzmann equation without cutoff
• Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off
• Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation