{ "id": "1506.02533", "version": "v1", "published": "2015-06-08T15:08:13.000Z", "updated": "2015-06-08T15:08:13.000Z", "title": "Local well-posedness below energy space for the Yang-Mills-Higgs system in temporal gauge", "authors": [ "Hartmut Pecher" ], "comment": "16 pages. arXiv admin note: text overlap with arXiv:1504.00506", "categories": [ "math.AP" ], "abstract": "The Yang-Mills-Higgs equations in temporal gauge are locally well-posed for small initial data even without finite energy using the null structure of the critical bilinear terms. This carries over a similar result by Tao for the Yang-Mills equations to the more general Yang-Mills-Higgs system.", "revisions": [ { "version": "v1", "updated": "2015-06-08T15:08:13.000Z" } ], "analyses": { "subjects": [ "35Q40", "35L70" ], "keywords": [ "temporal gauge", "energy space", "local well-posedness", "general yang-mills-higgs system", "small initial data" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150602533P", "inspire": 1375110 } } }