{ "id": "0710.2007", "version": "v2", "published": "2007-10-10T13:29:14.000Z", "updated": "2008-02-19T08:33:55.000Z", "title": "The wave equation on singular space-times", "authors": [ "James D. E. Grant", "Eberhard Mayerhofer", "Roland Steinbauer" ], "comment": "Latex, 19 pages, 1 figure. Discussion of class of metrics covered by our results and some examples added. Conclusion more detailed. Version to appear in Communications in Mathematical Physics", "journal": "Commun. Math. Phys. 285, 399-420 (2009)", "doi": "10.1007/s00220-008-0549-7", "categories": [ "math-ph", "gr-qc", "math.AP", "math.MP" ], "abstract": "We prove local unique solvability of the wave equation for a large class of weakly singular, locally bounded space-time metrics in a suitable space of generalised functions.", "revisions": [ { "version": "v2", "updated": "2008-02-19T08:33:55.000Z" } ], "analyses": { "subjects": [ "83C75", "46F30", "35D05", "35Q75" ], "keywords": [ "wave equation", "singular space-times", "local unique solvability", "large class", "locally bounded space-time metrics" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Communications in Mathematical Physics", "year": 2009, "month": "Jan", "volume": 285, "number": 2, "pages": 399 }, "note": { "typesetting": "LaTeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009CMaPh.285..399G" } } }