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

2006/11/09 by L. Desvillettes, Desvillettes, L., G. Furioli +3 · 1 citation
Mathematics · #76P05 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:76P05

paper · pdf · doi:10.48550/arxiv.math/0611268

18 pages

arxiv created 2006/11/09 · arxiv updated 2009/12/01

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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