{ "id": "1210.6792", "version": "v2", "published": "2012-10-25T11:08:20.000Z", "updated": "2012-11-10T14:24:49.000Z", "title": "Hölder regularity for parabolic De Giorgi classes in metric measure spaces", "authors": [ "Mathias Masson", "Juhana Siljander" ], "categories": [ "math.AP" ], "abstract": "We give a proof for the H\\\"older continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak $(1,p)$-Poincar\\'e inequality and to satisfy the annular decay property.", "revisions": [ { "version": "v2", "updated": "2012-11-10T14:24:49.000Z" } ], "analyses": { "subjects": [ "35B65", "35K65", "31E05" ], "keywords": [ "metric measure spaces", "giorgi classes", "hölder regularity", "annular decay property", "poincare inequality" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1210.6792M" } } }