arXiv:1711.00448 Abstract | arXiv Analytics

arXiv:1711.00448 [math.OC]Abstract References Reviews Resources

Sufficient Conditions for the Controllability of Wave Equations with a Transmission Condition at the Interface

Published 2017-11-01Version 1

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.

Comments: 28 pages, 30 figures

Categories: math.OC

Keywords: sufficient conditions, wave equations, transmission condition, boundary controllability, propagation

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