Global hypoelliptic estimates for Landau-type operators with external potential

Frédéric Hérau (1) , Wei-Xi Li (1, 2)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 School of Mathematics and Statistics [Wuhan]

In this paper we study a Landau-type operator with an external force. It is a linear model of the Landau equation near Maxwellian distributions. Making use of multiplier method, we get the global hypoelliptic estimate under suitable assumptions on the external potential.

Mots clés: global hypoellipticity; Landau equation; anisotropic diffusion; Wick quantization

Domaines: Equations aux dérivées partielles [math.AP]

Frédéric Hérau, Wei-Xi Li. Global hypoelliptic estimates for Landau-type operators with external potential. 2011. ⟨hal-00637834⟩