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...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 2nd ed. 2011. |
| سلاسل: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
342 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
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 |
جدول المحتويات:
- 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