Linear port-Hamiltonian systems on multidimensional spatial domains / vorgelegt von Nathanael Skrepek. Wuppertal, Novenmber 2021
Content
Symbols
Introduction
Important for Cherry Picker
Preliminaries
Linear Relations
Basics
Adjoint Linear Relations
Skew-symmetry and Dissipativity on Hilbert Spaces
Boundary Triples
Strongly Continuous Semigroups
Port-Hamiltonian Systems
Differential Operators
Port-Hamiltonian Systems
The Wave Equation as port-Hamiltonian System
Maxwell's Equations
Mindlin Plate Model
Quasi Gelfand Triples
Motivation
Definition and Results
Quasi Gelfand Triple with Hilbert Spaces
Quasi Gelfand Triples and Boundary Triples
Boundary Spaces
Boundary Control and Observation Systems
Basics
Port-Hamiltonian System as Boundary Control and Observation System
Wave Equation
Maxwell's Equations
Mindlin Plate Model
Stabilization of the Wave Equation
Compact Embedding for `3́9`42`"̇613A``45`47`"603Adiv-`3́9`42`"̇613A``45`47`"603Arot Systems
Appendix
Bibliography