{ "id": "1805.12283", "version": "v1", "published": "2018-05-31T01:34:08.000Z", "updated": "2018-05-31T01:34:08.000Z", "title": "Schauder Type Estimates for a Class of Hypoelliptic Operators", "authors": [ "Chengyang Shao" ], "categories": [ "math.AP" ], "abstract": "The present paper aims to generalize the Schauder estimate for a class of higher-order hypo-elliptic operators. The results in the present paper apply to parabolic equations of higher order and, for example, operators like $\\partial_t^2-\\partial_x^3$. Generalization to systems is also directly obtained.", "revisions": [ { "version": "v1", "updated": "2018-05-31T01:34:08.000Z" } ], "analyses": { "keywords": [ "schauder type estimates", "hypoelliptic operators", "higher-order hypo-elliptic operators", "higher order", "schauder estimate" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }