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Standort: Bereichsbibl. Mathematik+ /
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Verfasst von:Brézis, Hai͏̈m [VerfasserIn]   i
Titel:Functional analysis, Sobolev spaces and partial differential equations
Verf.angabe:Haim Brezis
Verlagsort:New York, NY ; Dordrecht ; Heidelberg ; London
Verlag:Springer
E-Jahr:2011
Jahr:[2011]
Umfang:xiii, 599 Seiten
Illustrationen:Diagramme
Format:24 cm
Gesamttitel/Reihe:Universitext
Fussnoten:Literaturverzeichnis: Seiten 585-594
ISBN:978-0-387-70913-0
Bestellnr.:10952184
Abstract: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 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
 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
 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 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
 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
DOI:doi:10.1007/978-0-387-70914-7
URL:Inhaltsverzeichnis: http://www.gbv.de/dms/tib-ub-hannover/611236311.pdf
 Inhaltstext: https://zbmath.org/?q=an:1220.46002
 Cover: https://swbplus.bsz-bw.de/bsz316644161cov.jpg
 DOI: https://doi.org/10.1007/978-0-387-70914-7
Schlagwörter:(s)Funktionalanalysis   i / (s)Sobolev-Raum   i / (s)Partielle Differentialgleichung   i
 (s)Funktionalanalysis   i / (s)Sobolev-Raum   i / (s)Partielle Differentialgleichung   i
Dokumenttyp:Lehrbuch
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Online-Ausgabe: Brézis, Hai͏̈m, 1944 - : Functional Analysis, Sobolev Spaces and Partial Differential Equations. - New York, NY : Springer Science+Business Media, LLC, 2011. - Online-Ressource (XIV, 600p. 9 illus, online resource)
Notation:AMS: 46Sxx
 AMS: 35Rxx
 AMS: 47Sxx
RVK-Notation:SK 600   i
K10plus-PPN:1601051840
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Mediennummer: 34146794, Inventarnummer: mam-1100006

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