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arXiv · 2509.04025

A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system

Emile Breton
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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.

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Emile Breton. 2025-09-04. A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system. https://arxiv.org/abs/2509.04025

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