Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

20 Scopus Citations
Scopus Metrics
View graph of relations

Author(s)

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

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)433-463
Journal / PublicationKyoto Journal of Mathematics
Volume52
Issue number3
Online published26 Jul 2012
Publication statusPublished - 2012

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-84872177668&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(5b363cc7-df5f-485a-bab3-c42191f2ca35).html

Abstract

In this paper, we consider the spatially homogeneous Boltzmann equation without angular cutoff. We prove that every L1-weak solution to the Cauchy problem with finite moments of all orders acquires the C∞-regularity in the velocity variable for all positive time. © 2012 by Kyoto University.

Fingerprint

Publication fingerprints text

100
Boltzmann equation Mathematics
44
Weak solution Mathematics
42
Cauchy problem Mathematics
37
Regularity Mathematics
34
Moment Mathematics
Full Fingerprint ›

Citation Format(s)

[ RIS ] [ BibTeX ]

Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff. / Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji et al.

In: Kyoto Journal of Mathematics, Vol. 52, No. 3, 2012, p. 433-463.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review