127 citations · 291 across the 19 of their papers we have counts for
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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…
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…
Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators
Nicolas Lerner, Yoshinori Morimoto, Karel Pravda-Starov +1
In many works, the linearized non-cutoff Boltzmann operator is considered to behave essentially as a fractional Laplacian. In the present work, we prove that the linearized non-cut…