{ "id": "1402.3574", "version": "v1", "published": "2014-02-14T20:30:48.000Z", "updated": "2014-02-14T20:30:48.000Z", "title": "Reconstruction of penetrable obstacles in the anisotropic acoustic scattering", "authors": [ "Yi-Hsuan Lin" ], "comment": "18 pages", "categories": [ "math.AP" ], "abstract": "We develop reconstruction schemes to determine penetrable obstacles in a region of \\mathbb{R}^{2} or \\mathbb{R}^{3} and we consider anisotropic elliptic equations. This algorithm uses oscillating-decaying solutions to the equation. We apply the oscillating-decaying solutions and the Runge approximation property to the inverse problem of identifying an inclusion in an anisotropic elliptic differential equation.", "revisions": [ { "version": "v1", "updated": "2014-02-14T20:30:48.000Z" } ], "analyses": { "keywords": [ "anisotropic acoustic scattering", "anisotropic elliptic differential equation", "runge approximation property", "anisotropic elliptic equations", "oscillating-decaying solutions" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1402.3574L" } } }