Linear wave systems on -D spatial domains
arXiv:1405.1840 · doi:10.1080/00207179.2014.993337
Abstract
In this paper we study the linear wave equation on an -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.
30 pages
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