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

Abstract : 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
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https://hal.archives-ouvertes.fr/hal-01116715
Contributor : Chao-Jiang Xu <>
Submitted on : Saturday, February 14, 2015 - 3:25:40 PM
Last modification on : Friday, April 10, 2020 - 5:19:31 PM

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  • HAL Id : hal-01116715, version 1

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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, Elsevier, 2014, 256 (2), pp.797-831. ⟨hal-01116715⟩

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