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Functional analysis, Sobolev spaces and partial differential equations

Author: H Brézis
Publisher: New York ; London : Springer, 2011.
Series: Universitext.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
Uniquely, this book presents a coherent, concise and unified way of combining elements from two distinct "worlds," functional analysis (FA) and partial differential equations (PDEs), and is intended for students who have a good background in real analysis. This text presents a smooth transition from FA to PDEs by analyzing in great detail the simple case of one-dimensional PDEs (i.e., ODEs), a more manageable
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Document Type: Book
All Authors / Contributors: H Brézis
ISBN: 0387709134 9780387709130
OCLC Number: 717212864
Notes: Originally published in French as Analyse fonctionelle, théorie et applications (Paris: Masson, ©1983) ; this English edition contains revisions and added exercises.
Description: xiii, 599 pages : illustrations ; 24 cm.
Contents: The Hahn-Banach theorems : introduction to the theory of conjugate convex functions --
The uniform boundedness principle and the closed graph theorem --
Weak topologies, reflexive spaces, separable spaces, uniform convexity --
Lp spaces --
Hilbert spaces --
Compact operators, spectral decomposition of self-adjoint compact operators --
The Hille-Yosida theorem --
Sobolev spaces and the variational formulation of boundary value problems in one dimension --
Sobolev spaces and the variational formulation of elliptic boundary value problems in N dimensions --
Evolution problems : the heat equation and the wave equation --
Miscellaneous complements.
Series Title: Universitext.
Responsibility: Haim Brezis.
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Abstract:

This is a completely revised English edition of the important Analyse fonctionnelle (1983). It contains a wealth of problems and exercises to guide the reader. It is also the first single-volume  Read more...

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From the reviews: "Brezis has intelligently chosen several fundamental concepts of functional analysis, and has build the book around them and their applications. ... for a newcomer who intends to Read more...

 
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