Sufficient Conditions for the Controllability of Wave Equations with a Transmission Condition at the Interface
classification
🧮 math.OC
keywords
mediumsconditionscontrollabilitydifferentgeometryinterfacepropagationspeed
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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.
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