Functional Spaces for the Theory of Elliptic Partial Differential Equations is popular PDF and ePub book, written by Françoise Demengel in 2012-01-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Functional Spaces for the Theory of Elliptic Partial Differential Equations can be Read Online from any device for your convenience.
Functional Spaces for the Theory of Elliptic Partial Differential Equations Book PDF Summary
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.
Detail Book of Functional Spaces for the Theory of Elliptic Partial Differential Equations PDF
- Author : Françoise Demengel
- Release : 24 January 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781447128076
- Genre : Mathematics
- Total Page : 480 pages
- Language : English
- PDF File Size : 11,6 Mb
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