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Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
Author(s):
Laurent
Desvillettes;
Giulia
Furioli;
Elide
Terraneo
Journal:
Trans. Amer. Math. Soc.
361
(2009),
1731-1747.
MSC (2000):
Primary 76P05;
Secondary 35B65
Posted:
October 31, 2008
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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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Additional Information:
Laurent
Desvillettes
Affiliation:
CMLA, ENS Cachan, CNRS, PRES UniverSud, 61, Avenue du Président Wilson, 94235 Cachan Cedex, France
Email:
desville@cmla.ens-cachan.fr
Giulia
Furioli
Affiliation:
Dipartimento di Ingegneria dell'Informazione e Metodi Matematici, Università di Bergamo, Viale Marconi 5, I-24044 Dalmine (BG), Italy
Email:
gfurioli@unibg.it
Elide
Terraneo
Affiliation:
Dipartimento di Matematica F. Enriques, Università degli studi di Milano, Via Saldini 50, I-20133 Milano, Italy
Email:
terraneo@mat.unimi.it
DOI:
10.1090/S0002-9947-08-04574-1
PII:
S 0002-9947(08)04574-1
Keywords:
Homogeneous Boltzmann equation,
cut-off and non-cut-off,
propagation of regularity,
Gevrey class
Received by editor(s):
November 20, 2006
Posted:
October 31, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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