{ "id": "math/0306108", "version": "v2", "published": "2003-06-05T20:54:46.000Z", "updated": "2004-03-19T21:19:59.000Z", "title": "Dispersive estimates for Schrodinger operators in dimensions one and three", "authors": [ "M. Goldberg", "W. Schlag" ], "comment": "20 pages. Corrected typos and improved explanatory remarks at the end", "journal": "Comm. Math. Phys. 251 (2004), no. 1, 157-178.", "doi": "10.1007/s00220-004-1140-5", "categories": [ "math.AP" ], "abstract": "We prove L^1 --> L^\\infty estimates for linear Schroedinger equations in dimensions one and three. The potentials are only required to satisfy some mild decay assumptions. No regularity on the potentials is assumed.", "revisions": [ { "version": "v2", "updated": "2004-03-19T21:19:59.000Z" } ], "analyses": { "subjects": [ "35Q40" ], "keywords": [ "schrodinger operators", "dispersive estimates", "dimensions", "linear schroedinger equations", "mild decay assumptions" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Commun. Math. Phys." }, "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }