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

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

2006-11-09

arxiv.org/abs/math/0611268v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

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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