Sufficient Conditions for the Controllability of Wave Equations with a Transmission Condition at the Interface
arXiv:1711.00448
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.
28 pages, 30 figures