Functional Analysis, Sobolev Spaces and Partial Differential Equations

Haim Brezis

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Sprache: Englisch

Verlag: Springer-Verlag New York Inc., 2010

0387709134 / 9780387709130

Serie: Buch 74 von 261 - Universitext

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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. 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 the 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. 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. …

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Titel
Functional Analysis, Sobolev Spaces and Partial Differential Equations
Autor
Haim Brezis
Verlag
Springer-Verlag New York Inc.
Veröffentlichungsjahr
2010
Zustand
Very Good
Einband
Paperback
Sprache
Englisch
ISBN-10
0387709134
ISBN-13
9780387709130
Serie
Buch 74 von 261: Universitext

World of Books (was SecondSale)

Montgomery, IL, USA

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AbeBooks-Verkäufer/-in seit 20. Dezember 2007

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