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A Primer for a Secret Shortcut to PDEs of Mathematical Physics

Part of the Frontiers in Mathematics Book Series

DOI: 10.1007/978-3-030-47333-4

ISBN: 978-3-030-47332-7

Publisher: Springer International Publishing - Springer Journals

Aug 25, 2020

Available

The Solution Theory for a Basic Class of Evolutionary Equations

Picard, Rainer; McGhee, Des; Trostorff, Sascha; Waurick, Marcus

Pages: 1 –30

[We start out with the definition of the time derivative. We emphasize that all vector spaces discussed in this exposition have the real numbers as underlying scalar field. This is a simplifying assumption. If given a complex Hilbert space, restrict the underlying scalar field to real multipliers...
Available

Some Applications to Models from Physics and Engineering

Picard, Rainer; McGhee, Des; Trostorff, Sascha; Waurick, Marcus

Pages: 31 –101

[A vast number of physical and engineering models can be shown to give rise to equations involving an operator of the form ∂0M0+M1+A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}...
Available

But What About the Main Stream?

Picard, Rainer; McGhee, Des; Trostorff, Sascha; Waurick, Marcus

Pages: 103 –122

[In this chapter, we will elaborate on our rationale for presenting yet another approach to well-posedness of partial differential equations. In particular, we will highlight conceptual differences between well established rationales and the one presented here. To start with, let us consider why...

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