1301.5566 (Yoshinori Morimoto et al.)

A remark on the ultra-analytic smoothing properties of the spatially
homogeneous Landau equation    [PDF]

Yoshinori Morimoto, Karel Pravda-Starov, Chao-Jiang Xu

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.

View original: http://arxiv.org/abs/1301.5566