Gelfand-Shilov smoothing properties of the radially symmetric spatially   homogeneous Boltzmann equation without angular cutoff
  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. 
Nicolas Lerner, Yoshinori Morimoto, Karel Pravda-Starov, Chao-Jiang Xu
math.AP math-ph math.MP