{ "id": "0907.0109", "version": "v2", "published": "2009-07-01T10:07:45.000Z", "updated": "2009-09-26T09:01:57.000Z", "title": "The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval", "authors": [ "Masaru Ikehata" ], "comment": "24pages, revised", "journal": "Inverse Problems 26 (2010) 055010", "doi": "10.1088/0266-5611/26/5/055010", "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "A simple method for some class of inverse obstacle scattering problems is introduced. The observation data are given by a wave field measured on a known surface surrounding unknown obstacles over a finite time interval. The wave is generated by an initial data with compact support outside the surface. The method yields the distance from a given point outside the surface to obstacles and thus more than the convex hull.", "revisions": [ { "version": "v2", "updated": "2009-09-26T09:01:57.000Z" } ], "analyses": { "subjects": [ "35R30" ], "keywords": [ "inverse obstacle scattering problems", "finite time interval", "enclosure method", "dynamical data", "surface surrounding unknown obstacles" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010InvPr..26e5010I" } } }