Smoothing estimates of the Vlasov-Poisson-Landau system

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)112-168
Journal / PublicationJournal of Differential Equations
Online published24 Aug 2021
Publication statusPublished - 15 Nov 2021


In this work, we consider the smoothing effect of Vlasov-Poisson-Landau system for both hard and soft potential. In particular, we prove that any classical solutions becomes immediately smooth with respect to all variables. We also give a proof on the global existence to Vlasov-Poisson-Landau system with optimal large time decay. These results give the regularity to Vlasov-Poisson-Landau system. The proof is based on the time-weighted energy method building upon the Pseudodifferential calculus.

Research Area(s)

  • Regularity, Smoothing effect, Vlasov-Poisson-Landau system