{ "id": "1711.06647", "version": "v1", "published": "2017-11-17T17:48:21.000Z", "updated": "2017-11-17T17:48:21.000Z", "title": "A straightforward proof of Carleman estimate for second order elliptic operator and a three sphere inequality", "authors": [ "Lorenzo Baldassari", "Sergio Vessella" ], "categories": [ "math.AP" ], "abstract": "In this paper we provide a simple proof of a Carleman estimate for a second order elliptic operator $P$ with Lipschitz leading coefficients. We apply such a Carleman estimate to derive a three sphere inequality for solutions to equation $Pu=0$", "revisions": [ { "version": "v1", "updated": "2017-11-17T17:48:21.000Z" } ], "analyses": { "subjects": [ "35R25", "35J15", "35B45" ], "keywords": [ "second order elliptic operator", "carleman estimate", "sphere inequality", "straightforward proof", "lipschitz leading coefficients" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }