Hypoellipticity for a class of kinetic equations
Hypoellipticity for a class of kinetic equations
In this work, we study a class of operators coming from the linearization of some kinetic equations such as Boltzmann equations and Vlasov-Fokker-Planck equations. Since it is not a standard class of pseudodifferential operators, we obtain hypoelliptic estimates in some weight functions space and show the regularity of weak solutions …