Nonlinear stability of the one dimensional screened Vlasov Poisson equation
Abstract
We study the asymptotic behavior of small data solutions to the screened Vlasov Poisson(i.e. Vlasov-Yukawa) equation on R× R near vacuum. We show that for initial data small in Gevrey-2 regularity, the derivative of the density of order n decays like (t+1)-n-1.
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