A note on the non-L1 asymptotic completeness of the Vlasov-Maxwell system

Abstract

We prove that under a generic asymptotic condition on the charge, the small data solutions to the Vlasov-Maxwell system do not verify linear scattering. In other words, we show the non-L1 asymptotic completeness of the system. The proof makes use of the Lorentz invariance of the equations.

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