3 papers
math.AP2011
Landau linearized operator and hypoellipticity
Radjesvarane Alexandre
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 \cit…
math.AP2011
A Gaussian beam approach for computing Wigner measures in convex domains
Jean-Luc Akian, Radjesvarane Alexandre, Salma Bougacha
A Gaussian beam method is presented for the analysis of the energy of the high frequency solution to the mixed problem of the scalar wave equation in an open and convex subset, wit…
math.AP2011
Fractional order kinetic equations and hypoellipticity
Radjesvarane Alexandre
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…