Small Gevrey-2 initial data for the 1D Vlasov-Yukawa system yield global solutions with density derivatives decaying like (t+1)^{-n-1}.
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Nonlinear stability of the one dimensional screened Vlasov Poisson equation
Small Gevrey-2 initial data for the 1D Vlasov-Yukawa system yield global solutions with density derivatives decaying like (t+1)^{-n-1}.