{ "id": "1808.06405", "version": "v1", "published": "2018-08-20T11:53:45.000Z", "updated": "2018-08-20T11:53:45.000Z", "title": "Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds", "authors": [ "Tim Binz" ], "comment": "16 pages", "categories": [ "math.FA" ], "abstract": "We study strictly elliptic differential operators with Dirichlet boundary conditions on the space $\\mathrm{C}(\\overline{M})$ of continuous functions on a compact, Riemannian manifold $\\overline{M}$ with boundary and prove sectoriality with optimal angle $\\frac{\\pi}{2}$.", "revisions": [ { "version": "v1", "updated": "2018-08-20T11:53:45.000Z" } ], "analyses": { "subjects": [ "47D06", "34G10", "47E05", "47F05" ], "keywords": [ "dirichlet boundary conditions", "strictly elliptic operators", "continuous functions", "study strictly elliptic differential operators" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }