{ "id": "1502.04842", "version": "v1", "published": "2015-02-17T09:59:28.000Z", "updated": "2015-02-17T09:59:28.000Z", "title": "Global stability for an inverse problem in soil-structure interaction", "authors": [ "Giovanni Alessandrini", "Antonino Morassi", "Edi Rosset", "Sergio Vessella" ], "comment": "13 pages", "categories": [ "math.AP" ], "abstract": "We consider the inverse problem of determining the Winkler subgrade reaction coefficient of a slab foundation modelled as a thin elastic plate clamped at the boundary. The plate is loaded by a concentrated force and its transversal deflection is measured at the interior points. We prove a global H\\\"{o}lder stability estimate under (mild) regularity assumptions on the unknown coefficient.", "revisions": [ { "version": "v1", "updated": "2015-02-17T09:59:28.000Z" } ], "analyses": { "subjects": [ "35R30", "35J55", "35R05" ], "keywords": [ "inverse problem", "soil-structure interaction", "global stability", "winkler subgrade reaction coefficient", "stability estimate" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }