Gevrey hypoellipticity for a class of kinetic equations

Hua Chen; Wei-Xi Li; Chao-Jiang Xu

doi:10.1080/03605302.2010.507689

Gevrey hypoellipticity for a class of kinetic equations

Hua Chen, Wei-Xi Li, Chao-Jiang Xu

Mathematics (Faculty of Sciences)

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the Gevrey regularity of weak solutions for a class of
linear and semi-linear kinetic equations, which are the linear model of spatially inhomogeneous Boltzmann equations without an angular cutoﬀ

Original language	English
Pages (from-to)	693-728
Journal	Communications in Partial Differential Equations
Volume	36
Issue number	4
DOIs	https://doi.org/10.1080/03605302.2010.507689
Publication status	Published - 2011 Jan 12

Subject classification (UKÄ)

Mathematics

Free keywords

microlocal analysis
Gevrey regularity
kinetic equation

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10.1080/03605302.2010.507689

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title = "Gevrey hypoellipticity for a class of kinetic equations",

abstract = "In this paper, we study the Gevrey regularity of weak solutions for a class of linear and semi-linear kinetic equations, which are the linear model of spatially inhomogeneous Boltzmann equations without an angular cutoﬀ",

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author = "Hua Chen and Wei-Xi Li and Chao-Jiang Xu",

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AU - Li, Wei-Xi

AU - Xu, Chao-Jiang

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N2 - In this paper, we study the Gevrey regularity of weak solutions for a class of linear and semi-linear kinetic equations, which are the linear model of spatially inhomogeneous Boltzmann equations without an angular cutoﬀ

AB - In this paper, we study the Gevrey regularity of weak solutions for a class of linear and semi-linear kinetic equations, which are the linear model of spatially inhomogeneous Boltzmann equations without an angular cutoﬀ

KW - microlocal analysis

KW - Gevrey regularity

KW - kinetic equation

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DO - 10.1080/03605302.2010.507689

M3 - Article

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VL - 36

SP - 693

EP - 728

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

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ER -

Gevrey hypoellipticity for a class of kinetic equations

Abstract

Subject classification (UKÄ)

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