{ "id": "1409.7098", "version": "v1", "published": "2014-09-24T20:56:08.000Z", "updated": "2014-09-24T20:56:08.000Z", "title": "Sweeping and the Dirichlet problem at the Martin boundary of a fine domain", "authors": [ "Mohamed El Kadiri", "Bent Fuglede" ], "categories": [ "math.AP" ], "abstract": "We study sweeping in the Martin compactification $\\overline U$ of a fine domain $U$ in $\\RR^n$, $n\\ge 2$, and solve the Dirichlet problem at the Martin boundary of $U$.", "revisions": [ { "version": "v1", "updated": "2014-09-24T20:56:08.000Z" } ], "analyses": { "keywords": [ "dirichlet problem", "martin boundary", "fine domain" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.7098E" } } }