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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-ph2012
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…