Linear wave systems on n-D spatial domains

D4 Published development or research report or study


Internal Authors/Editors


Publication Details

List of Authors: Mikael Kurula, Hans Zwart
Publisher: Cornell University Library, arXiv.org
Publication year: 2014


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.

Last updated on 2019-12-11 at 02:56