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Titlebook: Evolutionary Equations; Picard‘s Theorem for Christian Seifert,Sascha Trostorff,Marcus Waurick Book‘‘‘‘‘‘‘‘ 2022 The Editor(s) (if applicab

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发表于 2025-3-21 17:46:29 | 显示全部楼层 |阅读模式
书目名称Evolutionary Equations
副标题Picard‘s Theorem for
编辑Christian Seifert,Sascha Trostorff,Marcus Waurick
视频video
概述This book is open access, which means that you have free and unlimited access.Provides self-contained and comprehensive round up of the theory of evolutionary equations.The matter is confined to eleme
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Evolutionary Equations; Picard‘s Theorem for Christian Seifert,Sascha Trostorff,Marcus Waurick Book‘‘‘‘‘‘‘‘ 2022 The Editor(s) (if applicab
描述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..
出版日期Book‘‘‘‘‘‘‘‘ 2022
关键词Open Access; Evolutionary equations; Maxwell‘s equations; Initial Boundary Value Problems; Mathematical
版次1
doihttps://doi.org/10.1007/978-3-030-89397-2
isbn_softcover978-3-030-89399-6
isbn_ebook978-3-030-89397-2Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightThe Editor(s) (if applicable) and The Author(s) 2022
The information of publication is updating

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发表于 2025-3-21 21:03:09 | 显示全部楼层
The Time Derivative,l variable in our applications. As we want to deal with Hilbert space-valued functions, we start by introducing the concept of Bochner–Lebesgue spaces, which generalises the classical scalar-valued ..-spaces to the Banach space-valued case.
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Examples of Evolutionary Equations,media, (time-)fractional elasticity, thermodynamic media with delay as well as visco-elastic media. The discussion of these examples will be similar to that of the examples in the previous chapter in the sense that we shall present the equations first, reformulate them suitably and then apply the so
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Causality and a Theorem of Paley and Wiener,d operators. In this chapter we will present another proof of this fact, which rests on a result which characterises functions in . with support contained in the non-negative reals; the celebrated Theorem of Paley and Wiener. With the help of this theorem, which is interesting in its own right, the
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Boundary Value Problems and Boundary Value Spaces,form which fits within the general framework of evolutionary equations. In order to have an idea of the type of boundary values which make sense to study, we start off with a section that deals with the boundary values of functions in the domain of the gradient operator defined on a half-space in .
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