A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system
Analysis of PDEs
2025-09-05 v1 Mathematical Physics
math.MP
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- asymptotic completeness of the system. The proof makes use of the Lorentz invariance of the equations.
Keywords
Cite
@article{arxiv.2509.04025,
title = {A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system},
author = {Emile Breton},
journal= {arXiv preprint arXiv:2509.04025},
year = {2025}
}