{"paper":{"title":"Null structure and almost optimal local well-posedness of the Dirac-Klein-Gordon system","license":"","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Damiano Foschi, Piero D'Ancona, Sigmund Selberg","submitted_at":"2005-09-23T10:12:54Z","abstract_excerpt":"We prove almost optimal local well-posedness for the coupled\n Dirac-Klein-Gordon (DKG) system of equations in 1+3 dimensions.\n The proof relies on the null structure of the system, combined with bilinear spacetime estimates of Klainerman-Machedon type.\n It has been known for some time that the Klein-Gordon part of the system has a null structure; here we uncover an additional null structure in the Dirac equation, which cannot be seen directly, but appears after a duality argument."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0509545","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"}