{ "id": "0909.2696", "version": "v3", "published": "2009-09-14T23:34:41.000Z", "updated": "2010-05-31T16:00:39.000Z", "title": "A Strichartz estimate for de Sitter space", "authors": [ "Dean Baskin" ], "comment": "9 pages; v3: final version, corrected MSC classes", "categories": [ "math.AP", "math.DG" ], "abstract": "We demonstrate a family of Strichartz estimates for the conformally invariant Klein-Gordon equation on a class of asymptotically de Sitter spaces with C^2 metrics by using well-known local Strichartz estimates and a rescaling argument. This class of metrics includes de Sitter space. We also give an application of the estimates to a semilinear Klein-Gordon equation on these spaces.", "revisions": [ { "version": "v3", "updated": "2010-05-31T16:00:39.000Z" } ], "analyses": { "subjects": [ "35L05", "35Q75", "58J45" ], "keywords": [ "sitter space", "well-known local strichartz estimates", "conformally invariant klein-gordon equation", "semilinear klein-gordon equation", "demonstrate" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0909.2696B" } } }