This open access book provides a solution theory for time-dependent partial differential
equations which classically have not been accessible by a unified method. Instead of using
sophisticated techniques and methods the approach is elementary in the sense that only Hilbert
space methods and some basic theory of complex analysis are required. Nevertheless key
properties of solutions can be recovered in an elegant manner. Moreover the strength of this
method is demonstrated by a large variety of examples showing the applicability of the
approach of evolutionary equations in various fields. Additionally a quantitative theory for
evolutionary equations is developed.The text is self-contained providing an excellent source
for a first study on evolutionary equations and a decent guide to the available literature on
this subject thus bridging the gap to state-of-the-art mathematical research.
