Uncertainty principle and regularity for Boltzmann type equations

Radjesvarane Alexandre; Yoshinori Morimoto; Seiji Ukai; Chao-Jiang Xu; Tong Yang

doi:10.1016/j.crma.2007.10.032

Author(s)

Radjesvarane Alexandre
Yoshinori Morimoto
Seiji Ukai
Chao-Jiang Xu
Tong Yang

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	673-677
Journal / Publication	Comptes Rendus Mathematique
Volume	345
Issue number	12
Online published	26 Nov 2007
Publication status	Published - 15 Dec 2007

Link(s)

DOI	DOI https://doi.org/10.1016/j.crma.2007.10.032 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-36849030327&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(fdfcba57-03df-45f8-bf8d-44b3e54ac366).html

Abstract

We give a generalized version of uncertainty principle, and apply it to the study of regularization properties of solutions to kinetic equations. In particular, both linearized and nonlinear space inhomogeneous Boltzmann equations without Grad's cutoff assumption are considered. To cite this article: R. Alexandre et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007). © 2007.

Citation Format(s)

[ RIS ] [ BibTeX ]

Uncertainty principle and regularity for Boltzmann type equations. / Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji et al.
In: Comptes Rendus Mathematique, Vol. 345, No. 12, 15.12.2007, p. 673-677.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Alexandre, R, Morimoto, Y, Ukai, S, Xu, C-J & Yang, T 2007, 'Uncertainty principle and regularity for Boltzmann type equations', Comptes Rendus Mathematique, vol. 345, no. 12, pp. 673-677. https://doi.org/10.1016/j.crma.2007.10.032

Alexandre, R., Morimoto, Y., Ukai, S., Xu, C.-J., & Yang, T. (2007). Uncertainty principle and regularity for Boltzmann type equations. Comptes Rendus Mathematique, 345(12), 673-677. https://doi.org/10.1016/j.crma.2007.10.032

Alexandre R, Morimoto Y, Ukai S, Xu CJ, Yang T. Uncertainty principle and regularity for Boltzmann type equations. Comptes Rendus Mathematique. 2007 Dec 15;345(12):673-677. Epub 2007 Nov 26. doi: 10.1016/j.crma.2007.10.032

Alexandre, Radjesvarane ; Morimoto, Yoshinori ; Ukai, Seiji et al. / Uncertainty principle and regularity for Boltzmann type equations. In: Comptes Rendus Mathematique. 2007 ; Vol. 345, No. 12. pp. 673-677.