{ "id": "1504.02640", "version": "v1", "published": "2015-04-10T11:32:03.000Z", "updated": "2015-04-10T11:32:03.000Z", "title": "Scattering for NLS with a delta potential", "authors": [ "Valeria Banica", "Nicola Visciglia" ], "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "We prove $H^1$ scattering for defocusing NLS with a delta potential and mass-supercritical nonlinearity, hence extending in an inhomogeneous setting the classical 1-D scattering results first proved by Nakanishi in the translation invariant case.", "revisions": [ { "version": "v1", "updated": "2015-04-10T11:32:03.000Z" } ], "analyses": { "keywords": [ "delta potential", "translation invariant case", "scattering results first", "defocusing nls" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150402640B" } } }