{ "id": "1103.4725", "version": "v3", "published": "2011-03-24T10:41:49.000Z", "updated": "2011-11-21T13:22:30.000Z", "title": "Magnetic Virial and applications to blow up for Schrödinger and wave equations", "authors": [ "Andoni Garcia" ], "comment": "16 pages, final version incorporating referee's comments. To appear in Journal of Physics A: Mathematical and Theoretical", "categories": [ "math.AP" ], "abstract": "We prove blow up results for the solution of the initial value problem with negative energy of the focusing mass-critical and supercritical nonlinear Schr\\\"odinger and the focusing energy-subcritical nonlinear wave equations with electromagnetic potential.", "revisions": [ { "version": "v3", "updated": "2011-11-21T13:22:30.000Z" } ], "analyses": { "subjects": [ "35J10", "35L05", "58J45" ], "keywords": [ "magnetic virial", "applications", "schrödinger", "focusing energy-subcritical nonlinear wave equations", "initial value problem" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/1751-8113/45/1/015202", "journal": "Journal of Physics A Mathematical General", "year": 2012, "month": "Jan", "volume": 45, "number": 1, "pages": "015202" }, "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012JPhA...45a5202G" } } }