{ "id": "1307.1600", "version": "v1", "published": "2013-07-05T12:56:16.000Z", "updated": "2013-07-05T12:56:16.000Z", "title": "On the Strichartz estimates for the kinetic transport equation", "authors": [ "Jonathan Bennett", "Neal Bez", "Susana Gutierrez", "Sanghyuk Lee" ], "comment": "5 pages", "categories": [ "math.AP", "math.CA" ], "abstract": "We show that the endpoint Strichartz estimate for the kinetic transport equation is false in all dimensions. We also present a new approach to proving the non-endpoint cases using multilinear analysis.", "revisions": [ { "version": "v1", "updated": "2013-07-05T12:56:16.000Z" } ], "analyses": { "subjects": [ "42B37" ], "keywords": [ "kinetic transport equation", "endpoint strichartz estimate", "non-endpoint cases", "multilinear analysis", "dimensions" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1307.1600B" } } }