| 书目名称 | Functional Spaces for the Theory of Elliptic Partial Differential Equations |
| 编辑 | Françoise Demengel,Gilbert Demengel |
| 视频video | |
| 概述 | Complements Adams’ Sobolev Spaces in comprising a complete presentation of functional spaces but combined with abstract convex analysis.Gathers together results from functional analysis that make it e |
| 丛书名称 | Universitext |
| 图书封面 |  |
| 描述 | .The theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is essential in this theory as a tool for analysing the regularity of the solutions..This book offers on the one hand a complete theory of Sobolev spaces, which are of fundamental importance for elliptic linear and non-linear differential equations, and explains on the other hand how the abstract methods of convex analysis can be combined with this theory to produce existence results for the solutions of non-linear elliptic boundary problems. The book also considers other kinds of functional spaces which are useful for treating variational problems such as the minimal surface problem..The main purpose of the book is to provide a tool for graduate and postgraduate students interested in partial differential equations, as well as a useful reference for researchers active in the field. Prerequisites include a knowledge of classical analysis, differential calculus, Banach and Hilbert spaces, integration and the related standard functional spaces, as well as the Fourier transformation on the Schwartz space. .There are complete and de |
| 出版日期 | Textbook 2012 |
| 关键词 | Sobolev spaces; distributions; elliptic partial differential equations; function spaces; partial differe |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4471-2807-6 |
| isbn_softcover | 978-1-4471-2806-9 |
| isbn_ebook | 978-1-4471-2807-6Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
| issn_series | 0172-5939 |
| copyright | Springer-Verlag London Limited 2012 |
发表于 2025-3-21 19:17:04
