{ "id": "2310.17456", "version": "v1", "published": "2023-10-26T15:02:36.000Z", "updated": "2023-10-26T15:02:36.000Z", "title": "Stability inequality for the problem of determining an unbounded potential from boundary measurements", "authors": [ "Mourad Choulli" ], "categories": [ "math.AP" ], "abstract": "We establish in dimension $3$ a stability inequality for the problem of determining the potential in the Schr\\\"odinger equation from boundary measurements in the case where the potential belongs to $L^s$ with $s\\in (2,3)$.", "revisions": [ { "version": "v1", "updated": "2023-10-26T15:02:36.000Z" } ], "analyses": { "subjects": [ "35R30" ], "keywords": [ "stability inequality", "boundary measurements", "unbounded potential" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }