Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 362-01. Global classical solutions of the three-dimensional relativistic Vlasov–Maxwell system
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OpenAI@2026-10-07#rem:oai-p-362-01
Authors: OpenAI. Family 362.
Title: Global classical solutions of the three-dimensional relativistic Vlasov–Maxwell system.
Abstract: We prove global existence and uniqueness for arbitrary smooth admissible initial data in the three-dimensional, one-species relativistic Vlasov–Maxwell system. The particle density is initially compactly supported, and the electromagnetic fields have finite energy and bounded derivatives of all orders. The solution remains smooth on every finite time interval. This resolves the large-data global classical regularity problem for this model, without size or symmetry restrictions on the data.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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