MARC details
| 000 -LEADER |
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| fixed length control field |
04928nam a2200373Ki 4500 |
| 001 - CONTROL NUMBER |
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| control field |
ocn839304256 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240726105348.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
130415s2002 enka ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NT |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
NT |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781107360747 |
| Qualifying information |
|
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA323 |
| Item number |
.A874 2002 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
NTA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Saloff-Coste, L. |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
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| Title |
Aspects of Sobolev-type inequalitiesLaurent Saloff-Coste. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Cambridge ; |
| -- |
New York : |
| Name of publisher, distributor, etc. |
Cambridge University Press, |
| Date of publication, distribution, etc. |
(c)2002. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (x, 190 pages) : |
| Other physical details |
illustrations. |
| 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 |
data file |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
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| Series statement |
London Mathematical Society lecture note series ; |
| Volume # |
289 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographies and index. |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Title |
Sobolev inequalities in R[superscript n] -- |
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Sobolev inequalities -- |
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The proof due to Gagliardo and to Nirenberg -- |
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p = 1 implies p [greater than or equal] 1 -- |
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Riesz potentials -- |
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Another approach to Sobolev inequalities -- |
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Marcinkiewicz interpolation theorem -- |
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Proof of Sobolev Theorem 1.2.1 -- |
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Best constants -- |
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The case p = 1: isoperimetry -- |
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A complete proof with best constant for p = 1 -- |
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The case p > 1 -- |
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Some other Sobolev inequalities -- |
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The case p > n -- |
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The case p = n -- |
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Higher derivatives -- |
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Sobolev -- |
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Poincare inequalities on balls -- |
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The Neumann and Dirichlet eigenvalues -- |
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Poincare inequalities on Euclidean balls -- |
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Sobolev -- |
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Poincare inequalities -- |
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Moser's elliptic Harnack inequality -- |
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Elliptic operators in divergence form -- |
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Divergence form -- |
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Uniform ellipticity -- |
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A Sobolev-type inequality for Moser's iteration -- |
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Subsolutions and supersolutions -- |
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Subsolutions -- |
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Supersolutions -- |
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An abstract lemma -- |
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Harnack inequalities and continuity -- |
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Harnack inequalities -- |
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Holder continuity -- |
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Sobolev inequalities on manifolds -- |
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Notation concerning Riemannian manifolds -- |
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Isoperimetry -- |
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Sobolev inequalities and volume growth -- |
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Weak and strong Sobolev inequalities -- |
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Examples of weak Sobolev inequalities -- |
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(S[superscript [theta] subscript r,s])-inequalities: the parameters q and v -- |
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The case 0 < q < [infinity] -- |
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The case 1 = [infinity] -- |
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The case -[infinity] < q < 0 -- |
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Increasing p -- |
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Local versions -- |
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Pseudo-Poincare inequalities -- |
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Pseudo-Poincare technique: local version -- |
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Lie groups -- |
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Pseudo-Poincare inequalities on Lie groups -- |
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Ricci [greater than or equal] 0 and maximal volume growth -- |
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Sobolev inequality in precompact regions -- |
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Two applications -- |
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Ultracontractivity -- |
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Nash inequality implies ultracontractivity -- |
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The converse -- |
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Gaussian heat kernel estimates -- |
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The Gaffney-Davies L[superscript 2. estimate -- |
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Complex interpolation -- |
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Pointwise Gaussian upper bounds -- |
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On-diagonal lower bounds -- |
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The Rozenblum-Lieb-Cwikel inequality -- |
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The Schrodinger operator [Delta] -- |
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V -- |
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The operator T[subscript V] = [Delta superscript -1.V -- |
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The Birman-Schwinger principle -- |
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Parabolic Harnack inequalities -- |
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Scale-invariant Harnack principle -- |
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Local Sobolev inequalities -- |
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Local Sobolev inequalities and volume growth -- |
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Mean value inequalities for subsolutions -- |
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Localized heat kernel upper bounds -- |
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Time-derivative upper bounds -- |
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Mean value inequalities for supersolutions -- |
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Poincare inequalities -- |
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Poincare inequality and Sobolev inequality -- |
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Some weighted Poincare inequalities -- |
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Whitney-type coverings -- |
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A maximal inequality and an application -- |
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End of the proof of Theorem 5.3.4 -- |
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Harnack inequalities and applications -- |
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An inequality for log u -- |
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Harnack inequality for positive supersolutions -- |
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Harnack inequalities for positive solutions -- |
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Holder continuity -- |
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Liouville theorems -- |
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Heat kernel lower bounds -- |
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Two-sided heat kernel bounds -- |
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The parabolic Harnack principle -- |
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Poincare, doubling, and Harnack -- |
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Stochastic completeness -- |
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Local Sobolev inequalities and the heat equation -- |
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Selected applications of Theorem 5.5.1 -- |
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Unimodular Lie groups -- |
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Homogeneous spaces -- |
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Manifolds with Ricci curvature bounded below |
| 520 0# - SUMMARY, ETC. |
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| Summary, etc. |
Focusing on Poincaré, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemannian manifolds, this text is an advanced graduate book that will also suit researchers. |
| 530 ## - COPYRIGHT INFORMATION: |
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| COPYRIGHT INFORMATION |
COPYRIGHT NOT covered - Click this link to request copyright permission: |
| Uniform Resource Identifier |
<a href="b">b</a> |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Sobolev spaces. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Inequalities (Mathematics) |
| 655 #1 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic Books. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=552338&site=eds-live&custid=s3260518">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=552338&site=eds-live&custid=s3260518</a> |
| -- |
Click to access digital title | log in using your CIU ID number and my.ciu.edu password |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) |
| DONATED BY: |
|
| VENDOR |
EBSCO |
| Classification part |
QA |
| PUBLICATION YEAR |
2002 |
| LOCATION |
ONLINE |
| REQUESTED BY: |
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NFIC |
| Source of classification or shelving scheme |
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| 994 ## - |
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02 |
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NT |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
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| a |
1 |
| b |
Cynthia Snell |
| c |
1 |
| d |
Cynthia Snell |