{ "id": "1604.04255", "version": "v1", "published": "2016-04-14T18:46:58.000Z", "updated": "2016-04-14T18:46:58.000Z", "title": "Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data", "authors": [ "Benjamin Dodson" ], "comment": "48 pages", "categories": [ "math.AP" ], "abstract": "In this paper we prove that the cubic wave equation is globally well - posed and scattering for radial initial data lying in a slightly supercritical Sobolev space, and a weighted Sobolev space.", "revisions": [ { "version": "v1", "updated": "2016-04-14T18:46:58.000Z" } ], "analyses": { "subjects": [ "35L71", "35L05" ], "keywords": [ "cubic wave equation", "sharp initial data", "global well-posedness", "scattering", "slightly supercritical sobolev space" ], "note": { "typesetting": "TeX", "pages": 48, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160404255D" } } }