{ "id": "1806.00077", "version": "v1", "published": "2018-05-31T20:16:40.000Z", "updated": "2018-05-31T20:16:40.000Z", "title": "Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces", "authors": [ "Hongjie Dong", "N. V. Krylov" ], "comment": "33 Pages, submitted", "categories": [ "math.AP" ], "abstract": "We prove weighted and mixed-norm Sobolev estimates for fully nonlinear elliptic and parabolic equations in the whole space under a relaxed convexity condition with almost VMO dependence on space-time variables. The corresponding interior and boundary estimates are also obtained.", "revisions": [ { "version": "v1", "updated": "2018-05-31T20:16:40.000Z" } ], "analyses": { "keywords": [ "fully nonlinear elliptic", "mixed-norm sobolev spaces", "parabolic equations", "mixed-norm sobolev estimates", "boundary estimates" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable" } } }