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Sharp decay estimates for the Vlasov-Poisson and Vlasov-Yukawa systems with small data

Sharp decay estimates for the Vlasov-Poisson and Vlasov-Yukawa systems with small data

<p style='text-indent:20px;'>In this paper, we present sharp decay estimates for small data solutions to the following two systems: the Vlasov-Poisson (V-P) system in dimension 3 or higher and the Vlasov-Yukawa (V-Y) system in dimension 2 or higher. We rely on a modification of the vector field method for transport equation …