A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation
Résumé
We consider the non-linear spatially homogeneous Landau equation with Maxwellian molecules in a close-to-equilibrium framework and show
that the Cauchy problem for the fluctuation around the Maxwellian equilibrium distribution enjoys a Gelfand-Shilov regularizing eftfect in the
class,implying the ultra-analyticity and the production of exponential moments of the fluctuation, for any positive time.