Propagation of singularities for classical solutions of the
Laurent Bernis - Université d’Orléans, MAPMO, CNRS, BP 6759, 45067 Orléans Cedex 2, France (email)
Abstract: In this work, we prove that the singularities (in a fractional Sobolev space) of the classical solutions of the Vlasov-Poisson-Boltzmann equation are propagated along the characteristics of the Vlasov-Poisson equation, and decay exponentially.
Keywords: Vlasov Equation, Boltzmann Equation, Averaging Lemma, Propagation of Singularities.
Received: June 2007; Revised: December 2007; Available Online: January 2009.
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