Articles

PRECISE SMOOTHING EFFECTS OF HOMOGENEOUS LANDAU EQUATION IN SOBOLEV SPACES

  • Mohamed Najeme
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  • Université|de Rouen, UMR-6085, Math´ematiques, 76801 Saint Etienne du Rouvray, France

Received date: 2011-03-26

  Online published: 2012-05-20

Abstract

In this work, we study the smoothing effect of Cauchy problem in Sobolev space for the spatially homogeneous Landau equation in the Maxwellian case. We obtain a precise estimate with respect to time variable, which implies the ultra-analytic effect of weak solutions.

Cite this article

Mohamed Najeme . PRECISE SMOOTHING EFFECTS OF HOMOGENEOUS LANDAU EQUATION IN SOBOLEV SPACES[J]. Acta mathematica scientia, Series B, 2012 , 32(3) : 1245 -1254 . DOI: 10.1016/S0252-9602(12)60096-4

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