{ "id": "1510.08750", "version": "v1", "published": "2015-10-29T15:52:46.000Z", "updated": "2015-10-29T15:52:46.000Z", "title": "On low regularity solutions of the Chern-Simons-Dirac system in the temporal and the Coulomb gauge", "authors": [ "Hartmut Pecher" ], "comment": "15 pages. arXiv admin note: text overlap with arXiv:1409.4588", "categories": [ "math.AP" ], "abstract": "We prove low regularity local well-posedness results in Bourgain-Klainerman-Machedon spaces for the Chern-Simons-Dirac system in the temporal gauge and the Coulomb gauge. Under slightly stronger assumptions on the data we also obtain \"unconditional\" uniqueness in the natural solution spaces.", "revisions": [ { "version": "v1", "updated": "2015-10-29T15:52:46.000Z" } ], "analyses": { "subjects": [ "35Q40", "35L70" ], "keywords": [ "low regularity solutions", "chern-simons-dirac system", "coulomb gauge", "low regularity local well-posedness results", "natural solution spaces" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1401441 } } }