A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation
arXiv:1301.5566
Abstract
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 implying the ultra-analyticity of both the fluctuation and its Fourier transform for any positive time.
arXiv admin note: text overlap with arXiv:1212.4712