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math.AP2012★ 3 cited
Gelfand-Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff
Nicolas Lerner, Yoshinori Morimoto, Karel Pravda-Starov +1
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 r…
math.AP2012★ 2 cited
Villani conjecture on smoothing effect of the homogeneous Boltzmann equation with measure initial datum
Yoshinori Morimoto, Tong Yang
We justify the Villani conjecture on the smoothing effect for measure value solutions to the space homogeneous Boltzmann equation of Maxwellian type cross sections. This is the fir…