Regularity and compactness for Boltzmann collision kernels without angular cut-off;Régularité et compacité pour des noyaux de collision de Boltzmann sans troncature angulaire

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 1, 1998, Pages 37-41

  Lions, Pierre Louis ^a  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000927020     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)82709-7     Document Type: Article

References (13)

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6. [6] L. Desvillettes : About the regularity properties of the noncutoff Kac equation. Comm. Math. Phys., 168 (1995), 417-440.
7. [7] H. Grad : Principles of the kinetic theory of gases, Flügge's handbuch der Physik, 12 (1958), 205-294.
8. [8] P.-L. Lions : On Boltzmann and Landau equations. Phil. Trans. Roy. Soc. London A, 346 (1994), 191-204.
9. [9] P.-L. Lions : Compactness in Boltzmann's equation via Fourier integral operators and applications. Parts I, II, and III. J. Math. Kyoto Univ., 34 (1994), 391-462 et 539-584.
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13. [13] B. Wennberg : preprint, 1996.