{ "id": "1711.00448", "version": "v1", "published": "2017-11-01T17:17:15.000Z", "updated": "2017-11-01T17:17:15.000Z", "title": "Sufficient Conditions for the Controllability of Wave Equations with a Transmission Condition at the Interface", "authors": [ "Ludovick Gagnon" ], "comment": "28 pages, 30 figures", "categories": [ "math.OC" ], "abstract": "We consider waves travelling in two different mediums each endowed with a different constant speed of propagation. At the interface between the two mediums, the refraction of the rays of the optic geometry is described by the Snell-Descartes law. We provide sufficient conditions on the geometry of the mediums and on the speed of propagation for the boundary controllability.", "revisions": [ { "version": "v1", "updated": "2017-11-01T17:17:15.000Z" } ], "analyses": { "keywords": [ "sufficient conditions", "wave equations", "transmission condition", "boundary controllability", "propagation" ], "note": { "typesetting": "TeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable" } } }