The Gevrey hypoellipticity for a class of kinetic equations

Hua Chen (1) , Weixi Li (1) , Chao-Jiang Xu (2)

1 School of Mathematics and Statistics [Wuhan]
2 LMRS - Laboratoire de Mathématiques Raphaël Salem

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.

Mots clés: Gevrey regularity; Kinetic equation; Microlocal analysis

Domaines: Equations aux dérivées partielles [math.AP]

Hua Chen, Weixi Li, Chao-Jiang Xu. The Gevrey hypoellipticity for a class of kinetic equations. Communications in Partial Differential Equations, 2011, 36, pp.693-728. ⟨10.1080/03605302.2010.507689⟩. ⟨hal-00570082⟩