| 书目名称 | Modern Methods in the Calculus of Variations |
| 副标题 | L^p Spaces |
| 编辑 | Irene Fonseca,Giovanni Leoni |
| 视频video | |
| 概述 | Presented in an unified, contemporary way, a comprehensive analysis of necessary and sufficient conditions for sequential lower semicontinuity of functionals on Lp spaces, followed by relaxation techn |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory...This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces...This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject. It also contains several exercises. Therefore,it may be used both as a graduate textbook as well as a reference text for researchers in the field...Irene Fonseca is the Mellon College of Science Professor of Mathematics and is currently the Director of the Center for Nonlinear Analysis in the Department of Mathematical Sciences at Carnegie Mellon University...Her research interests li |
| 出版日期 | Textbook 2007 |
| 关键词 | Modern Methods; Sobolev space; Spaces; Variations; calculus; linear optimization; partial differential equ |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-387-69006-3 |
| isbn_softcover | 978-1-4419-2260-1 |
| isbn_ebook | 978-0-387-69006-3Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag New York 2007 |
发表于 2025-3-21 17:56:37
