Linear wave systems on n-D spatial domains

D4 Publicerad utvecklings- eller forskningsrapport eller studie


Interna författare/redaktörer


Publikationens författare: Mikael Kurula, Hans Zwart
Förläggare: Cornell University Library, arXiv.org
Publiceringsår: 2014


Abstrakt

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.

Senast uppdaterad 2019-07-12 vid 03:17