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A crucial ingredient is the associated \\emph{Yang-Mills heat flow}. As this approach does not possess the drawbacks of the previous approaches (as in Klainerman-Machedon (1995) and Tao (2003)), it is expected to be more robust and easily adaptable to other settings.\n  Building on the results proved in the companion article Oh (2012), we prove, as one of the first applications of our approach, finite ener","authors_text":"Sung-Jin Oh","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-10-04T19:37:18Z","title":"Finite energy global well-posedness of the Yang-Mills equations on $\\mathbb{R}^{1+3}$: An approach using the Yang-Mills heat flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1557","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fe8cfcd43a306a4f22ea40343d8349cdcfb3f429df3b058553f01d60a91b2a71","target":"record","created_at":"2026-05-18T01:28:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c329ee8e88c9d66b45bf39cb6e14f30bd9eb22b3c86ae85f74f95eb9123287ae","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-10-04T19:37:18Z","title_canon_sha256":"a5f49883322ef3872f61cc4dcf16c2a786321b574dd5215e324d9b59f0751fb1"},"schema_version":"1.0","source":{"id":"1210.1557","kind":"arxiv","version":2}},"canonical_sha256":"6e21b44f0e80cc3c937010e2c1592debfc42fac3a7538539a29cebdcb54ef1e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e21b44f0e80cc3c937010e2c1592debfc42fac3a7538539a29cebdcb54ef1e2","first_computed_at":"2026-05-18T01:28:21.535733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:21.535733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K+O7Nx/WX9FLVn0juin5jBUUR8ARhavSABPMtQXNaFnfk91CDEB3t7dI8MIWuackYxbNgFk5Fqvrwvx4ub13Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:21.536281Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.1557","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe8cfcd43a306a4f22ea40343d8349cdcfb3f429df3b058553f01d60a91b2a71","sha256:72cb8d3a3f7aa1e12da189faba0136c9d7344d6bb41ca99bfdd132c02530e022"],"state_sha256":"b3c09a23e5ec25e27f0cb4e923dd5d237d1da8e3f836a06aebaaf3189051a99a"}