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| 020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
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| International Standard Book Number |
9783642155642 |
| -- |
978-3-642-15564-2 |
| 040 ## - FUENTE DE CATALOGACIÓN |
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| Transcribing agency |
MX-MeUAM |
| 050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
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| Classification number |
QA299.6-433 |
| 082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY |
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| Classification number |
515 |
| Edition number |
23 |
| 100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL |
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| Personal name |
Maz'ya, Vladimir. |
| Relator term |
author. |
| 245 10 - MENCIÓN DE TITULO |
|---|
| Title |
Sobolev Spaces |
| Medium |
[recurso electrónico] : |
| Remainder of title |
with Applications to Elliptic Partial Differential Equations / |
| Statement of responsibility, etc. |
by Vladimir Maz'ya. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Berlin, Heidelberg : |
| Name of producer, publisher, distributor, manufacturer |
Springer Berlin Heidelberg, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2011. |
| 300 ## - DESCRIPCIÓN FÍSICA |
|---|
| Extent |
XXVIII, 866p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - MENCIÓN DE SERIE |
|---|
| Series statement |
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, |
| International Standard Serial Number |
0072-7830 ; |
| Volume/sequential designation |
342 |
| 505 0# - NOTA DE CONTENIDO |
|---|
| Formatted contents note |
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(O) -- 6.Integrability of Functions in the Space L 1/p (O) -- 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(O) into Other Function Spaces -- 16.Embedding L l/p(O) ? W m/r(O).-17.Approximation in Weighted Sobolev Spaces.-18.Spectrum of the Schrödinger operator and the Dirichlet Laplacian -- References -- List of Symbols -- Subject Index -- Author Index. |
| 520 ## - NOTA DE RESUMEN, ETC. |
|---|
| Summary, etc. |
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. |
| 596 ## - |
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| -- |
19 |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Mathematics. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Global analysis (Mathematics). |
| 650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Analysis. |
| 710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9783642155635 |
| 830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME |
|---|
| Uniform title |
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, |
| International Standard Serial Number |
0072-7830 ; |
| Volume number/sequential designation |
342 |
| 856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS |
|---|
| Public note |
Libro electrónico |
| Uniform Resource Identifier |
<a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-15564-2">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-15564-2</a> |
| 942 ## - TIPO DE MATERIAL (KOHA) |
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| Koha item type |
Libro Electrónico |
