Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
Articolo
Data di Pubblicazione:
2009
Citazione:
Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules / L. Desvillettes, G. Furioli, E. Terraneo. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 361:4(2009), pp. 1731-1747. [10.1090/S0002-9947-08-04574-1]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Cut-off and non-cut-off; Gevrey class; Homogeneous boltzmann equation; Propagation of regularity
Elenco autori:
L. Desvillettes, G. Furioli, E. Terraneo
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