{ "id": "1306.4973", "version": "v3", "published": "2013-06-20T19:46:48.000Z", "updated": "2014-03-10T01:02:41.000Z", "title": "Strichartz estimates for Schrödinger equations on irrational tori", "authors": [ "Zihua Guo", "Tadahiro Oh", "Yuzhao Wang" ], "comment": "42 pages. Expanded introduction and updated references. To appear in Proc. Lond. Math. Soc", "categories": [ "math.AP" ], "abstract": "In this paper, we prove new Strichartz estimates for linear Schrodinger equations posed on d-dimensional irrational tori. Then, we use these estimates to prove subcritical and critical local well-posedness results for nonlinear Schrodinger equations (NLS) on irrational tori.", "revisions": [ { "version": "v3", "updated": "2014-03-10T01:02:41.000Z" } ], "analyses": { "subjects": [ "35Q55", "42B37" ], "keywords": [ "strichartz estimates", "schrödinger equations", "critical local well-posedness results", "nonlinear schrodinger equations", "d-dimensional irrational tori" ], "note": { "typesetting": "TeX", "pages": 42, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1306.4973G" } } }