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We analyze the analytic Landau damping problem for the Vlasov-HMF equation,by fixing the asymptotic behavior of the solution. We use a new method for this"scattering problem", closer to the one used for the Cauchy problem. In thisway we are able to compare the two results, emphasizing the different influenceof the plasma echoes in the two approaches. In particular, we prove anon-perturbative result for the scattering problem.

Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation