Abstract
In this paper we study the linear wave equation on an n-dimensional spatial domain. We show that there is a boundary triplet associated to the undamped wave equation. This enables us to characterise all boundary conditions for which the undamped wave equation possesses a unique solution non-increasing in the energy. Furthermore, we add boundary inputs and outputs to the system, thus turning it into an impedance conservative boundary control system.
Original language | Undefined/Unknown |
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Publisher | Cornell University Library, arXiv.org |
Publication status | Published - 2014 |
MoE publication type | D4 Published development or research report or study |