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Publisher DOI: 10.1007/978-3-030-89397-2_6
Title: Solution theory for evolutionary equations
Language: English
Authors: Seifert, Christian  
Trostorff, Sascha 
Waurick, Marcus 
Issue Date: 28-Sep-2021
Publisher: Springer
Source: Operator Theory: Advances and Applications 287: 85-102 (2022-01-01)
Abstract (english): 
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.
DOI: 10.15480/882.4196
ISBN: 978-3-030-89397-2
Institute: Mathematik E-10 
Document Type: Chapter (Book)
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
Part of Series: Operator theory 
Volume number: 287
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