Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules

Desvillettes, Laurent; Furioli, Giulia; Terraneo, Elide

doi:10.1090/S0002-9947-08-04574-1

Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
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by Laurent Desvillettes, Giulia Furioli and Elide Terraneo PDF

Trans. Amer. Math. Soc. 361 (2009), 1731-1747 Request permission

Abstract:

We prove that Gevrey regularity is propagated by the Boltzmann equation with Maxwellian molecules, with or without angular cut-off. The proof relies on the Wild expansion of the solution to the equation and on the characterization of Gevrey regularity by the Fourier transform.

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