| 书目名称 | Calculus of Variations | | 编辑 | Filip Rindler | | 视频video | | | 概述 | Presents several strands of the most recent research on the calculus of variations.Builds on powerful analytical techniques such as Young measures to provide the reader with an effective toolkit for t | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field...Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange multipliers, Noether’s Theorem and some regularity theory. Based on the efficient Young measure approach, the author then discusses the vectorial theory of integral functionals, including quasiconvexity, polyconvexity, and relaxation. In the second part, more recent material such as rigidity in differential inclusions, microstructure, convex integration, singularities in measures, functionals defined on functions of bounded variation (BV), and Γ-convergence for phase transitions and homogenization are explored...While predominantly designed as a textbook for lecture courses on the calculus of variations, this book can also serve as the basis for a reading seminar or as a companion for self-study. The reader is assumed to be familiar with basic vector analysis, functional analysis, Sobolev | | 出版日期 | Textbook 2018 | | 关键词 | calculus of variations; PDE; partial differential equations; variational problem; minimization problem; E | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-77637-8 | | isbn_softcover | 978-3-319-77636-1 | | isbn_ebook | 978-3-319-77637-8Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
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发表于 2025-3-21 16:06:25
