{ "id": "1311.2185", "version": "v5", "published": "2013-11-09T16:36:35.000Z", "updated": "2014-07-23T12:03:18.000Z", "title": "On the Maxwell Inequalities for Bounded and Convex Domains", "authors": [ "Dirk Pauly" ], "comment": "Key Words: Maxwell's equations, Maxwell constant, second Maxwell eigenvalue, electro statics, magneto statics, Poincare's inequality, Friedrichs' inequality, Poincare's constant, Friedrichs' constant. arXiv admin note: text overlap with arXiv:1311.2186", "categories": [ "math.AP", "math.NA" ], "abstract": "For a bounded and convex domain in three dimensions we show that the Maxwell constants are bounded from below and above by Friedrichs' and Poincare's constants.", "revisions": [ { "version": "v5", "updated": "2014-07-23T12:03:18.000Z" } ], "analyses": { "keywords": [ "convex domain", "maxwell inequalities", "maxwell constants" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1311.2185P" } } }