Functional spaces for the theory of elliptic partial differential equations
Linear and non-linear elliptic boundary problems are a fundamental subject in analysis and the spaces of weakly differentiable functions (also called Sobolev spaces) are an essential tool for analysing the regularity of its solutions. The complete theory of Sobolev spaces is covered whilst also ex...
Shranjeno v:
| Auteurs principaux: | , |
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
London :
Springer London
2012.
Cham : Springer Nature |
| Serija: | Universitext
|
| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Functional spaces for the theory of elliptic partial differential equations, Françoise Demengel, Gilbert Demengel, London, Springer, EDP Sciences, 2012, 1 vol. (XVIII-465 p.), Universitext, 978-1-4471-2806-9 |
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| 100 | 1 | |a Demengel, Françoise. | |
| 245 | 1 | 0 | |a Functional spaces for the theory of elliptic partial differential equations |c by Françoise Demengel, Gilbert Demengel. |
| 260 | |a London : |b Springer London. | ||
| 260 | |a Cham : |b Springer Nature, |c 2012. | ||
| 490 | 0 | |a Universitext | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preliminaries on ellipticity Notions from Topology and Functional Analysis Sobolev Spaces and Embedding Theorems Traces of Functions on Sobolev Spaces Fractional Sobolev Spaces Elliptic PDE: Variational Techniques Distributions with measures as derivatives.- Korn's Inequality in Lp Appendix on Regularity | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Linear and non-linear elliptic boundary problems are a fundamental subject in analysis and the spaces of weakly differentiable functions (also called Sobolev spaces) are an essential tool for analysing the regularity of its solutions. The complete theory of Sobolev spaces is covered whilst also explaining how abstract convex analysis can be combined with this theory to produce existence results for the solutions of non-linear elliptic boundary problems. Other kinds of functional spaces are also included, useful for treating variational problems such as the minimal surface problem. Almost every result comes with a complete and detailed proof. In some cases, more than one proof is provided in order to highlight different aspects of the result. A range of exercises of varying levels of difficulty concludes each chapter with hints to solutions for many of them. It is hoped that this book will provide a tool for graduate and postgraduate students interested in partial differential equations, as well as a useful reference for researchers active in the field. Prerequisites include a knowledge of classical analysis, differential calculus, Banach and Hilbert spaces, integration and the related standard functional spaces, as well as the Fourier transformation on Schwartz spaces | ||
| 650 | |a Espaces fonctionnels | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Sobolev, Espaces de | ||
| 650 | |a Équations fonctionnelles | ||
| 650 | |a Fonctions elliptiques | ||
| 650 | |a Calcul des variations | ||
| 700 | 1 | |a Demengel, Gilbert. |4 aut | |
| 700 | 1 | |a Demengel, Gilbert. |4 aut | |
| 776 | 0 | |0 159692083 |t Functional spaces for the theory of elliptic partial differential equations |f Françoise Demengel, Gilbert Demengel |c London |n Springer |n EDP Sciences |d 2012 |p 1 vol. (XVIII-465 p.) |s Universitext |z 978-1-4471-2806-9 | |
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| 997 | |0 973999 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||