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.References
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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
- Received by editor(s): November 20, 2006
- Published electronically: October 31, 2008
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 1731-1747
- MSC (2000): Primary 76P05; Secondary 35B65
- DOI: https://doi.org/10.1090/S0002-9947-08-04574-1
- MathSciNet review: 2465814