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

Uncertainty principle and regularity for Boltzmann type equations

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

Department of Mathematics

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

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	673-677
Journal	Comptes Rendus Mathematique
Volume	345
Issue number	12
Online published	26 Nov 2007
DOIs	https://doi.org/10.1016/j.crma.2007.10.032
Publication status	Published - 15 Dec 2007

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title = "Uncertainty principle and regularity for Boltzmann type equations",

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). {\textcopyright} 2007.",

author = "Radjesvarane Alexandre and Yoshinori Morimoto and Seiji Ukai and Chao-Jiang Xu and Tong Yang",

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T1 - Uncertainty principle and regularity for Boltzmann type equations

AU - Alexandre, Radjesvarane

AU - Morimoto, Yoshinori

AU - Ukai, Seiji

AU - Xu, Chao-Jiang

AU - Yang, Tong

PY - 2007/12/15

Y1 - 2007/12/15

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/36849030327

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-36849030327&origin=recordpage

U2 - 10.1016/j.crma.2007.10.032

DO - 10.1016/j.crma.2007.10.032

M3 - RGC 21 - Publication in refereed journal

SN - 1631-073X

VL - 345

SP - 673

EP - 677

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 12

ER -

Uncertainty principle and regularity for Boltzmann type equations

Abstract

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