Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (3): 673-686.doi: 10.1016/S0252-9602(09)60063-1

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GEVREY REGULARITY FOR SOLUTION OF THE SPATIALLY HOMOGENEOUS LANDAU EQUATION

 CHEN Hua, LI Wei, XU Chao-Jiang   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China Universit´e de Rouen, UPRES-A6085, Mathmatiques, 76821 Mont-Saint-Aignan, France
  • Received:2008-12-16 Online:2009-05-20 Published:2009-05-20
  • Supported by:

    The research partially supported by the NSFC

Abstract:

In this paper, we study the Gevrey class regularity for solutions of the spatially homogeneous Landau equations in the hard potential case and the Maxwellian molecules case.

Key words: Landau equation, Gevrey regularity, smoothness effect

CLC Number: 

  • 35B65
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