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Original Articles

On Dispersion Rates for Solutions to the Vlasov-Poisson System

Pages 312-330 | Published online: 02 Mar 2012
 

Abstract

The purpose of this article is to refine and complement the results obtained in Calogero et al. (Citation2010) on the dispersive behavior for solutions to the Vlasov-Poisson system in the stellar dynamics case. I will focus mainly on solutions that have zero energy in the center of mass system.

Acknowledgments

The author has been partially supported by the Spanish MEC and FEDER, project MTM2008-05271. The author wants to thank Simone Calogero and Oscar Sánchez for many useful comments, and also Juanjo Nieto for pointing out the counterexamples that we refer to in Remark 5.

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