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Article Dans Une Revue Journal of Differential Equations Année : 2014

Gelfand–Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff

Résumé

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

Dates et versions

hal-01116715 , version 1 (14-02-2015)

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Citer

Nicolas Lerner, Yoshinori Morimoto, Karel Pravda-Starov, Chao-Jiang Xu. Gelfand–Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff. Journal of Differential Equations, 2014, 256 (2), pp.797-831. ⟨10.1016/j.jde.2013.10.001⟩. ⟨hal-01116715⟩
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