{ "id": "2212.05928", "version": "v1", "published": "2022-12-12T14:42:23.000Z", "updated": "2022-12-12T14:42:23.000Z", "title": "Uniqueness in weighted $l^p$ spaces for the Schrödinger equation on infinite graphs", "authors": [ "Giulia Meglioli", "Fabio Punzo" ], "categories": [ "math.AP" ], "abstract": "We investigate uniqueness of solutions to Schr\\\"odinger-type elliptic equations posed on infinite graphs. Solutions are assumed to belong to suitable weighted $\\ell^p$ spaces where $p\\geq 1$ and the weight is related to both the potential and $p$", "revisions": [ { "version": "v1", "updated": "2022-12-12T14:42:23.000Z" } ], "analyses": { "keywords": [ "infinite graphs", "schrödinger equation", "uniqueness" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }