ABSTRACT

Partial differential equations are often an important component of the mathematical description of phenomena. Guided by our study of (2.10) in Chapter 2, it is natural to ask whether or not certain classes of initial-boundary value problems could also be subsumed under some theoretical umbrella in the spirit of (2.10), albeit in a more elaborate sense. The quick answer is yes, provided we interpret the pieces correctly. Our work in this chapter focuses on extending the theoretical framework from Chapter 2 to a more general setting.