Regularizing effects for the classical solutions to the Landau equation in the whole space

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Original languageEnglish
Pages (from-to)123-143
Journal / PublicationJournal of Mathematical Analysis and Applications
Issue number1
Publication statusPublished - 1 Sep 2014
Externally publishedYes


The Landau equation describes the binary collisional effects (through long range coulombian interaction) in a plasma. In this paper, we prove that the known classical solutions to the Landau equation near Maxwellian in the whole space have a regularizing effect in all (time, space and velocity) variables, that is, become immediately smooth with respect to all variables. © 2014 Elsevier Inc.

Research Area(s)

  • Hypo-elliptic estimate, Landau equation, Regularizing effect

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