株式会社極東書店トップ商品一覧Evolutionary Equations : Picard's Theorem for Partial Differential Equations, and Applications. 1st ed. 2022.

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Evolutionary Equations

Evolutionary Equations : Picard's Theorem for Partial Differential Equations, and Applications. 1st ed. 2022.

【Open Accessタイトル】

・ISBN 978-3-030-89396-5 hard EUR 49.99

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お気に入り
著者・編者Seifert, Christian / Trostorff, Sascha / Waurick, Marcus,
シリーズOperator Theory: Advances and Applications
出版社(Springer Nature Switzerland AG, SZ)
出版年月2022
ページ数317 pp.
言語ENG
ニュース番号<M25-6372>

解説

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.