The reader should require only a basic foundation in the theory of Hilbert spaces and operators therein. For convenience, however, some of the more technical background requirements are covered in detail in two appendices The theory is kept as elementary as possible, making the material suitable for a senior undergraduate or master’s level course. In addition, researchers in a variety of fields whose work involves partial differential equations and applied operator theory will also greatly benefit from this approach to structuring their mathematical models in order that the general theory can be applied to ensure the essential properties of well-posedness and causality.
Rainer Picard is Seniorprofessor at the TU Dresden in Germany.
Sascha Trostorff is lecturer at the Christian-Albrechts-Universität zu Kiel in Germany.
Marcus Waurick Chancellor's Fellow at the University of Strathclyde in Glasgow, Scotland.