Solution theory for evolutionary equations

First published in
Operator theory 
Number in series
287
Start Page
85
End Page
102
Citation
Operator Theory: Advances and Applications 287: 85-102 (2022)
Publisher DOI
10.1007/978-3-030-89397-2_6
Scopus ID
2-s2.0-85124417947
Publisher
Springer
In this chapter, we shall discuss and present the first major result of the manuscript: Picard’s theorem on the solution theory for evolutionary equations which is the main result of Picard (A structural observation for linear material laws in classical mathematical physics. In Mathematical Methods in the Applied Sciences, vol 32, 2009, pp 1768–1803). In order to stress the applicability of this theorem, we shall deal with applications first and provide a proof of the actual result afterwards. With an initial interest in applications in mind, we start off with the introduction of some operators related to vector calculus.
DDC Class
510: Mathematik