ABSTRACT

The material developed in this volume has provided an introductory look at evolution equations designed to acquaint you with some essential and foundational notions and techniques, as well as a wealth of applications to which they apply. But, this is just the beginning. Several more chapters could have been included in this text that explored other interesting classes of abstract evolution equations, similarly rooted in concrete applications, using a similar approach. And, volumes more could be written for the study of abstract evolution equations for which a nice variation of parameters formula is no longer available. As encouragment for you to continue the current line of study, we provide very short encounters with three different, yet related, classes of abstract evolution equations below, each of which can be studied using a similar approach to the one developed in this text. We then conclude with a short introduction to Volume 2 on stochastic evolution equations.