{ "id": "1906.08987", "version": "v1", "published": "2019-06-21T07:28:34.000Z", "updated": "2019-06-21T07:28:34.000Z", "title": "Unique determination of the damping coefficient in the wave equation using point source and receiver data", "authors": [ "Manmohan Vashisth" ], "categories": [ "math.AP" ], "abstract": "In this article, we consider the inverse problems of determining the damping coefficient appearing in the wave equation. We prove the unique determination of the coefficient from the data coming from a single coincident source-receiver pair. Since our problem is under-determined, so some extra assumption on the coefficient is required to prove the uniqueness.", "revisions": [ { "version": "v1", "updated": "2019-06-21T07:28:34.000Z" } ], "analyses": { "subjects": [ "35L05", "35L10", "35R30", "74J25" ], "keywords": [ "unique determination", "wave equation", "damping coefficient", "receiver data", "point source" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }