Linear wave systems on n-D spatial domains

Mikael Kurula, Hans Zwart

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    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 languageUndefined/Unknown
    PublisherCornell University Library,
    Publication statusPublished - 2014
    MoE publication typeD4 Published development or research report or study

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