Sobolev spaces : with applications to elliptic partial differential equations
Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is...
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| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | 2nd ed. 2011. |
| Edice: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
342 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Description d'après consultation du 22 avril 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Sobolev spaces, with applications to elliptic partial differential equations, Vladimir Maz'ya, 2nd, revised and augmented edition, 2011, Heidelberg, Springer, 1 vol. (XXVIII-866 p.), Grundlehren der mathematischen Wissenschaften, 978-3-642-15563-5 • Sobolev Spaces, Texte imprimé, 9783642155659 • Sobolev Spaces, Texte imprimé, 9783662517291 |
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| 041 | 0 | |a eng | |
| 082 | |a 515 | ||
| 084 | |a 46-02. 2010 | ||
| 084 | |a 46E35. 2010 | ||
| 100 | 1 | |a Maz½â, Vladimir Gilelevič, |d 1937- | |
| 245 | 1 | 0 | |a Sobolev spaces : |b with applications to elliptic partial differential equations |c by Vladimir Maz'ya. |
| 250 | |a 2nd ed. 2011. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 342 |x 2196-9701 | |
| 500 | |a Description d'après consultation du 22 avril 2013 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Introduction 1 .Basic Properties of Sobolev Spaces 2 .Inequalities for Functions Vanishing at the Boundary 3.Conductor and Capacitary Inequalities with Applications to Sobolev-type Embeddings 4.Generalizations for Functions on Manifolds and Topological Spaces 5.Integrability of Functions in the Space L 1/1( ) 6.Integrability of Functions in the Space L 1/p ( ) 7.Continuity and Boundedness of Functions in Sobolev Spaces 8.Localization Moduli of Sobolev Embeddings for General Domains 9.Space of Functions of Bounded Variation 10.Certain Function Spaces, Capacities and Potentials 11 Capacitary and Trace Inequalities for Functions in Rn with Derivatives of an Arbitrary Order.-12.Pointwise Interpolation Inequalities for Derivatives and Potentials 13.A Variant of Capacity 14.-Integral Inequality for Functions on a Cube 15.Embedding of the Space L l/p( ) into Other Function Spaces 16.Embedding L l/p( ) W m/r( ).-17.Approximation in Weighted Sobolev Spaces.-18.Spectrum of the Schrödinger operator and the Dirichlet Laplacian References List of Symbols Subject Index Author Index | |
| 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 Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume rst appeared in German as three booklets of Teubner-Texte zur Mathematik (1979,1980). In the Springer volume Sobolev Spaces , published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a signi cantly augmented list of references aim to create a broader and modern view of the area | ||
| 650 | |a Sobolev, Espaces de | ||
| 650 | |a Équations différentielles elliptiques | ||
| 650 | |a Équations aux dérivées partielles | ||
| 776 | 0 | |0 150886519 |t Sobolev spaces |o with applications to elliptic partial differential equations |f Vladimir Maz'ya |e 2nd, revised and augmented edition |d 2011 |c Heidelberg |n Springer |p 1 vol. (XXVIII-866 p.) |s Grundlehren der mathematischen Wissenschaften |z 978-3-642-15563-5 | |
| 776 | 0 | |t Sobolev Spaces |b Texte imprimé |z 9783642155659 | |
| 776 | 0 | |t Sobolev Spaces |b Texte imprimé |z 9783662517291 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-RWHDVDN0-S |z Accès sur la plateforme Istex | |
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