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Functional Spaces for the Theory of Elliptic Partial Differential Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

Functional Spaces for the Theory of Elliptic Partial Differential Equations
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简体网页||繁体网页
Françoise Demengel 作者
Springer
Reinie Erné 译者
2012-1-22 出版日期
483 页数
USD 79.95 价格
Paperback
universitext 丛书系列
9781447128069 图书编码

Functional Spaces for the Theory of Elliptic Partial Differential Equations 在线电子书 图书标签: 礼物  数学  寂寞  女孩  Springer  PDE  2012   

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Functional Spaces for the Theory of Elliptic Partial Differential Equations 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Functional Spaces for the Theory of Elliptic Partial Differential Equations 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Functional Spaces for the Theory of Elliptic Partial Differential Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


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Functional Spaces for the Theory of Elliptic Partial Differential Equations 在线电子书 著者简介

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Functional Spaces for the Theory of Elliptic Partial Differential Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Functional Spaces for the Theory of Elliptic Partial Differential Equations 在线电子书 图书描述

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 detailed proofs of almost all the results announced and, in some cases, more than one proof is provided in order to highlight different features of the result. Each chapter concludes with a range of exercises of varying levels of difficulty, with hints to solutions provided for many of them.

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