摘要

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 effect in the class S-1/2(1/2)(R-d), implying the ultra-analyticity and the production of exponential moments of the fluctuation, for any positive time.