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...
Enregistré dans:
| 主要作者: | |
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| 格式: | Livre numérique |
| 语言: | Anglais |
| 出版: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| 版: | 2nd ed. 2011. |
| 丛编: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
342 |
| 主题: | |
| 在线阅读: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
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 |
| 总结: | 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 |
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| Item Description: | Description d'après consultation du 22 avril 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| 参考书目: | Bibliogr. Index |
| ISBN: | 9783642155642 |
| ISSN: | 2196-9701 |
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