Landau linearized operator and hypoellipticity

Radjesvarane Alexandre (1)

1 IRENAV - Institut de Recherche de l'Ecole Navale

We consider the linearized Landau operator for which we provide simple proofs of hypoellipticity, and in particular we recover the recent results of H\' erau and Pravda-Starov \cite{herau-all}. Our arguments are elementary and in particular avoids any use of pseudo-differential calculus.

Mots clés: Landau equation; hypoellipticity

Domaines: Equations aux dérivées partielles [math.AP]

Radjesvarane Alexandre. Landau linearized operator and hypoellipticity. 2011. ⟨hal-00574481v2⟩