Analytic smoothness effect of solutions for spatially homogeneous Landau equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:248

Article

Chen, Hua¹  Li, Wei-Xi¹  Xu, Chao-Jiang^1,2 

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Univ Rouen, CNRS, UMR 6085, F-76801 St Etienne, France

关键词: Landau equation;    Boltzmann equation;    Analytic regularity;    Smoothness effect;   

DOI  :  10.1016/j.jde.2009.08.006

来源: Elsevier

【 摘 要 】

In this paper, we study the smoothness effect of Cauchy problem for the spatially homogeneous Landau equation in the hard potential case and the Maxwellian molecules case. We obtain the analytic smoothing effect for the solutions under rather weak assumptions on the initial datum. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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