{ "id": "1301.6867", "version": "v1", "published": "2013-01-29T09:04:40.000Z", "updated": "2013-01-29T09:04:40.000Z", "title": "The cubic nonlinear Dirac equation", "authors": [ "Federico Cacciafesta" ], "comment": "10 pages; Days on PDEs 2012, Biarritz (France). arXiv admin note: text overlap with arXiv:1103.4014", "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "We present some results obtained in collaboration with prof. Piero D'Ancona concerning global existence for the 3D cubic non linear massless Dirac equation with a potential for small initial data in $H^1$ with slight additional assumptions. The new crucial tool is given by the proof of some refined endpoint Strichartz estimates.", "revisions": [ { "version": "v1", "updated": "2013-01-29T09:04:40.000Z" } ], "analyses": { "keywords": [ "cubic nonlinear dirac equation", "non linear massless dirac", "linear massless dirac equation", "cubic non linear massless", "piero dancona concerning global existence" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1301.6867C" } } }