{ "id": "1509.01359", "version": "v1", "published": "2015-09-04T08:07:56.000Z", "updated": "2015-09-04T08:07:56.000Z", "title": "The Cauchy-Dirichlet problem for a general class of parabolic equations", "authors": [ "Paolo Baroni", "Casimir Lindfors" ], "comment": "32 pages", "categories": [ "math.AP" ], "abstract": "We prove regularity results such as interior Lipschitz regularity and boundary continuity for the Cauchy-Dirichlet problem associated to a class of parabolic equations inspired by the evolutionary $p$-Laplacian, but extending it at a wide scale. We employ a regularization technique of viscosity-type that we find interesting in itself.", "revisions": [ { "version": "v1", "updated": "2015-09-04T08:07:56.000Z" } ], "analyses": { "keywords": [ "parabolic equations", "cauchy-dirichlet problem", "general class", "interior lipschitz regularity", "regularization technique" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable" } } }