{ "id": "0706.1993", "version": "v2", "published": "2007-06-13T21:11:37.000Z", "updated": "2009-01-20T14:27:46.000Z", "title": "On pathwise uniqueness for reflecting Brownian motion in $C^{1+γ}$ domains", "authors": [ "Richard F. Bass", "Krzysztof Burdzy" ], "comment": "Published in at http://dx.doi.org/10.1214/08-AOP390 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)", "journal": "Annals of Probability 2008, Vol. 36, No. 6, 2311-2331", "doi": "10.1214/08-AOP390", "categories": [ "math.PR" ], "abstract": "Pathwise uniqueness holds for the Skorokhod stochastic differential equation in $C^{1+\\gamma}$ domains in $\\mathbb{R}^d$ for $\\gamma >1/2$ and $d\\geq3$.", "revisions": [ { "version": "v2", "updated": "2009-01-20T14:27:46.000Z" } ], "analyses": { "subjects": [ "60J65", "60H10" ], "keywords": [ "reflecting brownian motion", "skorokhod stochastic differential equation", "pathwise uniqueness holds" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0706.1993B" } } }