Sammanfattning
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.
Originalspråk | Odefinierat/okänt |
---|---|
Förlag | Cornell University Library, arXiv.org |
Status | Publicerad - 2014 |
MoE-publikationstyp | D4 Publicerad utvecklings- eller forskningsrapport eller studie |