A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system
Emile Breton
Published: 2025/9/4
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-$L^1$ asymptotic completeness of the system. The proof makes use of the Lorentz invariance of the equations.