1212.4712 (Nicolas Lerner et al.)

Gelfand-Shilov smoothing properties of the radially symmetric spatially
homogeneous Boltzmann equation without angular cutoff    [PDF]

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

We prove that the Cauchy problem associated to the radially symmetric spatially homogeneous non-cutoff Boltzmann equation with Maxwellian molecules enjoys the same Gelfand-Shilov regularizing effect as the Cauchy problem defined by the evolution equation associated to a fractional harmonic oscillator.

View original: http://arxiv.org/abs/1212.4712