{ "id": "1304.2984", "version": "v2", "published": "2013-04-10T14:54:23.000Z", "updated": "2013-05-22T11:04:34.000Z", "title": "Global boundedness of the fundamental solution of parabolic equations with unbounded coefficients", "authors": [ "Esther Bleich" ], "categories": [ "math.AP" ], "abstract": "The purpose of this paper is to obtain an upper bound for the fundamental solution for parabolic Cauchy problem u'=Au, where A is a second order elliptic partial differential operator with unbounded coefficients such that its potential and the potential of the formal adjoint of the operator A are bounded from below.", "revisions": [ { "version": "v2", "updated": "2013-05-22T11:04:34.000Z" } ], "analyses": { "keywords": [ "fundamental solution", "unbounded coefficients", "parabolic equations", "global boundedness", "second order elliptic partial differential" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1304.2984B" } } }