| 书目名称 | Functional Analysis, Sobolev Spaces, and Calculus of Variations | | 编辑 | Pablo Pedregal | | 视频video | | | 概述 | Covers, in a single source, the full road to treat standard variational problems in solid analytical foundation.The style facilitates progressive understanding, while the set of solved exercises helps | | 丛书名称 | UNITEXT | | 图书封面 |  | | 描述 | This book aims at introducing students into the modern analytical foundations to treat problems and situations in the Calculus of Variations solidly and rigorously. Since no background is taken for granted or assumed, as the textbook pretends to be self-contained, areas like basic Functional Analysis and Sobolev spaces are studied to the point that chapters devoted to these topics can be utilized by themselves as an introduction to these important parts of Analysis. The material in this regard has been selected to serve the needs of classical variational problems, leaving broader treatments for more advanced and specialized courses in those areas. It should not be forgotten that problems in the Calculus of Variations historically played a crucial role in pushing Functional Analysis as a discipline on its own right. The style is intentionally didactic. After a first general chapter to place optimization problems in infinite-dimensional spaces in perspective, the first part of the book focuses on the initial important concepts in Functional Analysis and introduces Sobolev spaces in dimension one as a preliminary, simpler case (much in the same way as in the successful book of H. Brez | | 出版日期 | Textbook 2024 | | 关键词 | Banach space; Hilbert space; Lebesgue space; Sobolev space; weak topology; convex analysis; weak lower sem | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-49246-4 | | isbn_softcover | 978-3-031-49245-7 | | isbn_ebook | 978-3-031-49246-4Series ISSN 2038-5714 Series E-ISSN 2532-3318 | | issn_series | 2038-5714 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:08:52
