{ "id": "2007.06864", "version": "v1", "published": "2020-07-14T07:19:30.000Z", "updated": "2020-07-14T07:19:30.000Z", "title": "Stable determination of a rigid scatterer in elastodynamics", "authors": [ "Luca Rondi", "Eva Sincich", "Mourad SIni" ], "comment": "32 pages, 2 figures", "categories": [ "math.AP" ], "abstract": "We deal with an inverse elastic scattering problem for the shape determination of a rigid scatterer in the time-harmonic regime. We prove a local stability estimate of log log type for the identification of a scatterer by a single far-field measurement. The needed a priori condition on the closeness of the scatterers is estimated by the universal constant appearing in the Friedrichs inequality.", "revisions": [ { "version": "v1", "updated": "2020-07-14T07:19:30.000Z" } ], "analyses": { "subjects": [ "35R30" ], "keywords": [ "rigid scatterer", "stable determination", "elastodynamics", "inverse elastic scattering problem", "single far-field measurement" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable" } } }