{"paper":{"title":"Yet another criterion for global existence in the 3D relativistic Vlasov-Maxwell system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Markus Kunze","submitted_at":"2014-06-05T20:37:41Z","abstract_excerpt":"We prove that solutions of the 3D relativistic Vlasov-Maxwell system can be extended, as long as the quantity $\\sigma_{-1}(t, x) = \\max_{|\\omega|=1} \\,\\int_{R^3} \\frac{dp}{\\sqrt{1+p^2}}\\, \\frac{1}{(1+v\\cdot\\omega)}\\, f(t, x, p)$ is bounded in $L^2_x$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1517","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}