{ "id": "1402.4589", "version": "v1", "published": "2014-02-19T08:42:11.000Z", "updated": "2014-02-19T08:42:11.000Z", "title": "Dirichlet heat kernel for unimodal Lévy processes", "authors": [ "K. Bogdan", "T. Grzywny", "M. Ryznar" ], "comment": "38 pages", "categories": [ "math.PR", "math.AP" ], "abstract": "We estimate the heat kernel of the smooth open set for the isotropic unimodal pure-jump L\\'evy process with infinite L\\'evy measure and weakly scaling L\\'evy-Kchintchine exponent.", "revisions": [ { "version": "v1", "updated": "2014-02-19T08:42:11.000Z" } ], "analyses": { "subjects": [ "60J35", "60J50", "60J75", "31B25" ], "keywords": [ "unimodal lévy processes", "dirichlet heat kernel", "isotropic unimodal pure-jump levy process", "smooth open set", "infinite levy measure" ], "note": { "typesetting": "TeX", "pages": 38, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1402.4589B" } } }