{ "id": "1209.3885", "version": "v2", "published": "2012-09-18T09:12:22.000Z", "updated": "2013-11-06T13:48:59.000Z", "title": "Real analyticity of solutions to Schrödinger equations involving fractional Laplacians", "authors": [ "Anna Dall'Acqua", "Søren Fournais", "Thomas Østergaard Sørensen", "Edgardo Stockmeyer" ], "comment": "Contribution to the proceedings of ICMP12, Aalborg, Denmark, August 6--11, 2012. This manuscript contains new results, not discussed in the talk. Version 2: Now in all dimensions", "journal": "XVIIth International Congress on Mathematical Physics (2013), 600--609 (Proceedings of ICMP12, Aalborg, Denmark, August 6--11, 2012)", "doi": "10.1142/9789814449243_0062", "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "We prove analyticity of solutions in $\\mathbb{R}^{n}$, $n\\ge1$, to certain nonlocal linear Schr\\\"odinger equations with analytic potentials.", "revisions": [ { "version": "v2", "updated": "2013-11-06T13:48:59.000Z" } ], "analyses": { "subjects": [ "35B65", "35J10", "81Q05", "81V55", "81V70", "35Q40" ], "keywords": [ "fractional laplacians", "schrödinger equations", "real analyticity", "nonlocal linear" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1209.3885D" } } }