Concentration Compactness : : Functional-Analytic Theory of Concentration Phenomena /

Concentration Compactness : : Functional-Analytic Theory of Concentration Phenomena / / Cyril Tintarev.

Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem. This monograph presents a systematic functional-analytic presentation of concentration mechanisms and is by far the most extensive and syst...

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Superior document:Title is part of eBook package: De Gruyter DG Ebook Package English 2020
VerfasserIn:
Tintarev, Cyril,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2020]
©2020
Year of Publication:2020
Language:English
Series:De Gruyter Series in Nonlinear Analysis and Applications , 33
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Physical Description:1 online resource (XI, 216 p.)
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lccn 2019952753
ctrlnum (DE-B1597)477165
(OCoLC)1143791343
collection bib_alma
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spelling Tintarev, Cyril, author. aut http://id.loc.gov/vocabulary/relators/aut
Concentration Compactness : Functional-Analytic Theory of Concentration Phenomena / Cyril Tintarev.
Berlin ; Boston : De Gruyter, [2020]
©2020
1 online resource (XI, 216 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Series in Nonlinear Analysis and Applications , 0941-813X ; 33
Frontmatter -- Preface -- Contents -- 1. Profile decomposition: a structured defect of compactness -- 2. Delta-convergence and weak convergence -- 3. Cocompact embeddings with the rescaling group -- 4. Profile decomposition in Banach spaces -- 5. More cocompact embeddings -- 6. Profile decompositions on subsets -- 7. Global compactness on Riemannian manifolds -- 8. Functions of bounded variation. Sobolev spaces on fractals -- 9. Sample applications to variational problems -- 10. Appendix -- Common notations -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem. This monograph presents a systematic functional-analytic presentation of concentration mechanisms and is by far the most extensive and systematic collection of mathematical tools for analyzing the convergence of functional sequences via the mechanism of concentration.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Functional analysis.
Funktionalanalysis.
Kompaktheit.
Nichtlineare Funktionalanalysis.
Nichtlineare elliptische Differentialgleichung.
Schwache Konvergenz.
MATHEMATICS / Functional Analysis. bisacsh
Title is part of eBook package: De Gruyter DG Ebook Package English 2020 9783110696288
Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 9783110696271
Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications 9783110647099
Title is part of eBook package: De Gruyter De Gruyter English eBooks 2020 - UC 9783110659061
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English 9783110704716
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 9783110704518 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English 9783110704846
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 9783110704662 ZDB-23-DMA
EPUB 9783110530582
print 9783110530346
https://doi.org/10.1515/9783110532432
https://www.degruyter.com/isbn/9783110532432
Cover https://www.degruyter.com/document/cover/isbn/9783110532432/original
language English
format eBook
author Tintarev, Cyril,
Tintarev, Cyril,
spellingShingle Tintarev, Cyril,
Tintarev, Cyril,
Concentration Compactness : Functional-Analytic Theory of Concentration Phenomena /
De Gruyter Series in Nonlinear Analysis and Applications ,
Frontmatter --
Preface --
Contents --
1. Profile decomposition: a structured defect of compactness --
2. Delta-convergence and weak convergence --
3. Cocompact embeddings with the rescaling group --
4. Profile decomposition in Banach spaces --
5. More cocompact embeddings --
6. Profile decompositions on subsets --
7. Global compactness on Riemannian manifolds --
8. Functions of bounded variation. Sobolev spaces on fractals --
9. Sample applications to variational problems --
10. Appendix --
Common notations --
Bibliography --
Index
author_facet Tintarev, Cyril,
Tintarev, Cyril,
author_variant c t ct
c t ct
author_role VerfasserIn
VerfasserIn
author_sort Tintarev, Cyril,
title Concentration Compactness : Functional-Analytic Theory of Concentration Phenomena /
title_sub Functional-Analytic Theory of Concentration Phenomena /
title_full Concentration Compactness : Functional-Analytic Theory of Concentration Phenomena / Cyril Tintarev.
title_fullStr Concentration Compactness : Functional-Analytic Theory of Concentration Phenomena / Cyril Tintarev.
title_full_unstemmed Concentration Compactness : Functional-Analytic Theory of Concentration Phenomena / Cyril Tintarev.
title_auth Concentration Compactness : Functional-Analytic Theory of Concentration Phenomena /
title_alt Frontmatter --
Preface --
Contents --
1. Profile decomposition: a structured defect of compactness --
2. Delta-convergence and weak convergence --
3. Cocompact embeddings with the rescaling group --
4. Profile decomposition in Banach spaces --
5. More cocompact embeddings --
6. Profile decompositions on subsets --
7. Global compactness on Riemannian manifolds --
8. Functions of bounded variation. Sobolev spaces on fractals --
9. Sample applications to variational problems --
10. Appendix --
Common notations --
Bibliography --
Index
title_new Concentration Compactness :
title_sort concentration compactness : functional-analytic theory of concentration phenomena /
series De Gruyter Series in Nonlinear Analysis and Applications ,
series2 De Gruyter Series in Nonlinear Analysis and Applications ,
publisher De Gruyter,
publishDate 2020
physical 1 online resource (XI, 216 p.)
Issued also in print.
contents Frontmatter --
Preface --
Contents --
1. Profile decomposition: a structured defect of compactness --
2. Delta-convergence and weak convergence --
3. Cocompact embeddings with the rescaling group --
4. Profile decomposition in Banach spaces --
5. More cocompact embeddings --
6. Profile decompositions on subsets --
7. Global compactness on Riemannian manifolds --
8. Functions of bounded variation. Sobolev spaces on fractals --
9. Sample applications to variational problems --
10. Appendix --
Common notations --
Bibliography --
Index
isbn 9783110532432
9783110696288
9783110696271
9783110647099
9783110659061
9783110704716
9783110704518
9783110704846
9783110704662
9783110530582
9783110530346
issn 0941-813X ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA320
callnumber-sort QA 3320 T565 42020
url https://doi.org/10.1515/9783110532432
https://www.degruyter.com/isbn/9783110532432
https://www.degruyter.com/document/cover/isbn/9783110532432/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.7
dewey-sort 3515.7
dewey-raw 515.7
dewey-search 515.7
doi_str_mv 10.1515/9783110532432
oclc_num 1143791343
work_keys_str_mv AT tintarevcyril concentrationcompactnessfunctionalanalytictheoryofconcentrationphenomena
status_str n
ids_txt_mv (DE-B1597)477165
(OCoLC)1143791343
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Ebook Package English 2020
Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1
Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications
Title is part of eBook package: De Gruyter De Gruyter English eBooks 2020 - UC
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020
is_hierarchy_title Concentration Compactness : Functional-Analytic Theory of Concentration Phenomena /
container_title Title is part of eBook package: De Gruyter DG Ebook Package English 2020
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