Existence of local solutions for the Boltzmann equation without angular cutoff

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

doi:10.1016/j.crma.2009.09.015

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)	1237-1242
Journal / Publication	Comptes Rendus Mathematique
Volume	347
Issue number	21-22
Online published	1 Oct 2009
Publication status	Published - Nov 2009

Link(s)

DOI	DOI https://doi.org/10.1016/j.crma.2009.09.015 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-72049095061&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(1aaf8579-52a3-4b62-91b1-000d296f2dd3).html

Abstract

We consider the spatially inhomogeneous Boltzmann equation without angular cutoff. We prove the existence and uniqueness of local classical solutions to the Cauchy problem, in the function space with Maxwellian type exponential decay with respect to the velocity variable. To cite this article: R. Alexandre et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). © 2009.

Citation Format(s)

[ RIS ] [ BibTeX ]

Existence of local solutions for the Boltzmann equation without angular cutoff. / Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji et al.
In: Comptes Rendus Mathematique, Vol. 347, No. 21-22, 11.2009, p. 1237-1242.

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 2009, 'Existence of local solutions for the Boltzmann equation without angular cutoff', Comptes Rendus Mathematique, vol. 347, no. 21-22, pp. 1237-1242. https://doi.org/10.1016/j.crma.2009.09.015

Alexandre, R., Morimoto, Y., Ukai, S., Xu, C.-J., & Yang, T. (2009). Existence of local solutions for the Boltzmann equation without angular cutoff. Comptes Rendus Mathematique, 347(21-22), 1237-1242. https://doi.org/10.1016/j.crma.2009.09.015

Alexandre R, Morimoto Y, Ukai S, Xu CJ, Yang T. Existence of local solutions for the Boltzmann equation without angular cutoff. Comptes Rendus Mathematique. 2009 Nov;347(21-22):1237-1242. Epub 2009 Oct 1. doi: 10.1016/j.crma.2009.09.015

Alexandre, Radjesvarane ; Morimoto, Yoshinori ; Ukai, Seiji et al. / Existence of local solutions for the Boltzmann equation without angular cutoff. In: Comptes Rendus Mathematique. 2009 ; Vol. 347, No. 21-22. pp. 1237-1242.