{ "id": "1609.06102", "version": "v1", "published": "2016-09-20T11:13:34.000Z", "updated": "2016-09-20T11:13:34.000Z", "title": "H{รถ}lder stability in determining the potential and the damping coefficient in a wave equation", "authors": [ "Kais Ammari", "Mourad Choulli", "Faouzi Triki" ], "categories": [ "math.AP" ], "abstract": "We improve the preceding results obtained by the first and the second authors in [3]. They concern the stability issue of the inverse problem that consists in determining the potential and the damping coefficient in a wave equation from an initial-to-boundary operator. We partially modify the arguments in [3] to show that actually we have H{\\\"o}lder stability instead of logarithmic stability.", "revisions": [ { "version": "v1", "updated": "2016-09-20T11:13:34.000Z" } ], "analyses": { "keywords": [ "wave equation", "damping coefficient", "lder stability", "determining", "initial-to-boundary operator" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }