عنوان
پدید آورنده
موضوع
رده
QA320 .B73 2011
QA320
.
B73
2011
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0387709134
(Number (ISBN
0387709142
(Number (ISBN
1283476193
(Number (ISBN
6613476196
(Number (ISBN
9780387709130
(Number (ISBN
9780387709147
(Number (ISBN
9781283476195
(Number (ISBN
9786613476197
Erroneous ISBN
9780387709130
NATIONAL BIBLIOGRAPHY NUMBER
Number
b737277
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Functional analysis, Sobolev spaces and partial differential equations /
General Material Designation
[Book]
First Statement of Responsibility
by Haim Brezis.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
London :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
©2011.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xiii, 599 pages)
SERIES
Series Title
Universitext
GENERAL NOTES
Text of Note
Originally published in French as Analyse fonctionelle, théorie et applications (Paris: Masson, ©1983); this English edition contains revisions and added exercises.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 585-594) and index.
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
The first part of the text deals with abstract results in FA and operator theory. The second part is concerned with the study of spaces of functions (of one or more real variables) having specific differentiability properties, e.g., the celebrated Sobolev spaces, which lie at the heart of the modern theory of PDEs. The Sobolev spaces occur in a wide range of questions, both in pure and applied mathematics, appearing in linear and nonlinear PDEs which arise, for example, in differential geometry, harmonic analysis, engineering, mechanics, physics etc. and belong in the toolbox of any graduate student studying analysis.
Text of Note
This book has its roots in a celebrated course taught by the author for many years and is a completely revised, updated, and expanded English edition of die important Analyse Fonctionnelle (1983). Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English version is a welcome addition to this list.
Text of Note
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 approach for the beginner. Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Moreover, the wealth of exercises and additional material presented, leads the reader to the frontier of research.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer
Stock Number
978-0-387-70913-0
OTHER EDITION IN ANOTHER MEDIUM
Title
Functional analysis, Sobolev spaces and partial differential equations.
International Standard Book Number
9780387709130
TOPICAL NAME USED AS SUBJECT
Differential equations, Partial.
Functional analysis.
Sobolev spaces.
Differential equations, Partial.
Functional analysis.
Sobolev spaces.
(SUBJECT CATEGORY (Provisional
MAT037000
PBKF
DEWEY DECIMAL CLASSIFICATION
Number
515
.
7
Edition
22
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA320
Book number
.
B73
2011
PERSONAL NAME - PRIMARY RESPONSIBILITY
Brézis, H., (Haim)
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Brézis, H., (Haim).
ORIGINATING SOURCE
Date of Transaction
20201203223012.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
