{ "id": "2108.10443", "version": "v1", "published": "2021-08-23T23:25:28.000Z", "updated": "2021-08-23T23:25:28.000Z", "title": "Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients", "authors": [ "Jehan Oh", "Jihoon Ok" ], "comment": "19pages", "categories": [ "math.AP" ], "abstract": "We obtain Calder\\'on-Zygmund type estimates for parabolic equations with Orlicz growth, where nonlinearities involved in the equations may be discontinuous for the space and time variables. In addition, we consider parabolic systems with the Uhlenbeck structure.", "revisions": [ { "version": "v1", "updated": "2021-08-23T23:25:28.000Z" } ], "analyses": { "keywords": [ "orlicz growth", "parabolic problems", "gradient estimates", "discontinuous coefficients", "calderon-zygmund type estimates" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }