Orateur
Isabelle Tristani
Description
In this talk, we will study the regularisation properties of the Boltzmann equation without cut-off (in the hard potentials case) at the linearised level. The proof uses the hypoellipticity features of the equation and is reminiscent of what has already been done for the Fokker-Planck equation. We will then see that this type of property is a key point to develop a Cauchy theory for the nonlinear equation in Sobolev spaces with polynomial weights. This is a joint work with Frédéric Hérau and Daniela Tonon.
