{ "id": "math/0502505", "version": "v3", "published": "2005-02-24T01:53:03.000Z", "updated": "2005-08-16T08:10:03.000Z", "title": "Some Remarks on Strichartz Estimates for Homogeneous Wave Equation", "authors": [ "Daoyuan Fang", "Chengbo Wang" ], "comment": "9 pages with 5 figures; some typos corrected", "journal": "Nonlinear Analysis 65 (2006) 697-706", "doi": "10.1016/j.na.2005.09.040", "categories": [ "math.AP" ], "abstract": "We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of $L^\\infty_x$ estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate $L^4_t L^\\infty_x$ for $n=2$.", "revisions": [ { "version": "v3", "updated": "2005-08-16T08:10:03.000Z" } ], "analyses": { "subjects": [ "35L05" ], "keywords": [ "homogeneous wave equation", "strichartz estimates", "radial solutions", "initial data", "special attention" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......2505F" } } }