For nonzero asymptotic charge Q∞, small-data solutions of the relativistic Vlasov-Maxwell system do not scatter linearly in L1; linear scattering forces Q∞=0.
Asymptotic Behavior of the Nonlinear Vlasov Equation with a Self- Consistent Force
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A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system
For nonzero asymptotic charge Q∞, small-data solutions of the relativistic Vlasov-Maxwell system do not scatter linearly in L1; linear scattering forces Q∞=0.