{ "id": "1208.0621", "version": "v2", "published": "2012-08-02T22:06:58.000Z", "updated": "2012-11-12T13:08:59.000Z", "title": "Local Hölder continuity for some doubly nonlinear parabolic equations in measure spaces", "authors": [ "Eurica Henriques", "Rojbin Laleoglu" ], "comment": "arXiv admin note: text overlap with arXiv:1006.0781 by other authors", "categories": [ "math.AP" ], "abstract": "We establish the local H\\\"older continuity for the nonnegative weak solutions of certain doubly nonlinear parabolic equations possessing a singularity in the time derivative part and a degeneracy in the principal part. The proof involves the method of intrinsic scaling and the setting is a measure space equipped with a doubling non-trivial Borel measure supporting a Poincar\\'e inequality.", "revisions": [ { "version": "v2", "updated": "2012-11-12T13:08:59.000Z" } ], "analyses": { "subjects": [ "35B65", "35K65", "35K67", "35D10" ], "keywords": [ "doubly nonlinear parabolic equations", "local hölder continuity", "measure space", "non-trivial borel measure supporting", "nonlinear parabolic equations possessing" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1208.0621H" } } }