Functional analysis, Sobolev spaces and partial differential equations
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 F...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Livre papier |
| Lenguaje: | Anglais |
| Publicado: |
New York ; Dordrecht ; Heidelberg [etc.] :
Springer
C 2011.
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| Colección: | Universitext
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| Materias: | |
| Nota: |
Edition anglaise révisée, mise à jour et étendue avec de nouveaux problèmes et exercices (avec solutions) de l'ouvrage publié en français chez Masson sous le titre : "Analyse fonctionnelle : théorie et applications" (1983) Lectorat : scientifique |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Functional analysis, Sobolev spaces and partial differential equations, Haim Brezis, 20XX, New York, NY, Springer New York, Springer e-books, Universitext, 978-0-387-70914-7 |
| LEADER | 03344nam a22003377a 4500 | ||
|---|---|---|---|
| 001 | 383799 | ||
| 008 | 110105t20112011xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN148944310 | ||
| 020 | |a 9780387709130 (br.) | ||
| 024 | |a 9780387709130 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.7 | ||
| 084 | |a 35Rxx. 2010 | ||
| 084 | |a 46Sxx. 2010 | ||
| 084 | |a 47Sxx. 2010 | ||
| 100 | 1 | |a Brézis, Haïm, |d 1944-2024. | |
| 245 | 1 | 0 | |a Functional analysis, Sobolev spaces and partial differential equations |c Haim Brezis. |
| 260 | |a New York ; |a Dordrecht ; |a Heidelberg [etc.] : |b Springer. | ||
| 260 | |c C 2011. | ||
| 300 | |a 1 vol. (XIII-599 p.) : |b ill. ; |c 24 cm. | ||
| 490 | 1 | |a Universitext | |
| 500 | |a Edition anglaise révisée, mise à jour et étendue avec de nouveaux problèmes et exercices (avec solutions) de l'ouvrage publié en français chez Masson sous le titre : "Analyse fonctionnelle : théorie et applications" (1983) | ||
| 500 | |a Lectorat : scientifique | ||
| 504 | |a Bibliogr. p. 585-594. Index. | ||
| 520 | |a 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. | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Sobolev, Espaces de | ||
| 650 | |a Équations aux dérivées partielles | ||
| 776 | 0 | |0 149891326 |t Functional analysis, Sobolev spaces and partial differential equations |f Haim Brezis |d 20XX |c New York, NY |n Springer New York |n Springer e-books |s Universitext |z 978-0-387-70914-7 | |
| 787 | 0 | 8 | |i Reproduced as: |0 000750085 |t Analyse fonctionnelle |o théorie et applications |f Haïm Brezis |d 1983 |c Paris [etc.] |n Masson |p 1 vol. (XIV-233 p.) |s Collection Mathématiques appliquées pour la maîtrise |
| 997 | |0 383799 |1 Livre papier |a Ressource papier |c 0/Orléans/ |c 1/Orléans/IDP/ |z Orléans, IDP, 7544 BRE | ||