Fractional order kinetic equations and hypoellipticity

Radjesvarane Alexandre (1)

1 IRENAV - Institut de Recherche de l'Ecole Navale

We give simple proofs of hypoelliptic estimates for some models of kinetic equations with a fractional order diffusion part. The proofs are based on energy estimates together with F. Bouchut and B. Perthame previous ideas.

Mots clés: Boltzmann equation; hypoellipticity; non-cutoff cross sections

Domaines: Equations aux dérivées partielles [math.AP]

Radjesvarane Alexandre. Fractional order kinetic equations and hypoellipticity. 2011. ⟨hal-00565013v2⟩