{ "id": "1206.1832", "version": "v1", "published": "2012-06-08T18:15:20.000Z", "updated": "2012-06-08T18:15:20.000Z", "title": "Soliton dynamics of NLS with singular potentials", "authors": [ "Claudio Bonanno", "Marco Ghimenti", "Marco Squassina" ], "comment": "23 pages", "categories": [ "math.AP", "math.DS" ], "abstract": "We investigate the validity of a soliton dynamics behavior in the semi-relativistic limit for the nonlinear Schr\\\"odinger equation in $\\R^{N}, N\\ge 3$, in presence of a singular external potential.", "revisions": [ { "version": "v1", "updated": "2012-06-08T18:15:20.000Z" } ], "analyses": { "subjects": [ "35D99", "35J62", "58E05", "35J70" ], "keywords": [ "singular potentials", "soliton dynamics behavior", "singular external potential", "semi-relativistic limit" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1206.1832B" } } }