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math.APFeb 26, 2011
28
citations (OpenAlex)
authors
  • Hua Chen
  • Weixi Li
  • Chao-Jiang Xu
institutions
  • Centre National de la Recherche Scientifique
  • Laboratoire de Mathématiques Raphaël Salem
  • Université de Rouen Normandie
  • Wuhan University
arXiv abstractPDF
paper

The Gevrey hypoellipticity for kinetic equations

arXiv:1102.5432 · doi:10.1080/03605302.2010.507689

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.

Cited by in corpus (6)

  • The Boltzmann equation without angular cutoff in the whole space: III, Qualitative properties of solutions
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  • Well-posedness in Sobolev spaces of the two-dimensional MHD Boundary layer equations without viscosity
  • Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff
  • Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation without Angular Cutoff
  • Gevrey regularity with weight for incompressible Euler equation in the half plane
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