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

Tintarev  Kyril

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dc.contributor.author	Tintarev Kyril
dc.date.accessioned	2024-01-25T09:11:55Z
dc.date.available	2024-01-25T09:11:55Z
dc.date.issued	2020
dc.identifier.citation	Tintarev. Concentration Compactness: Functional-Analytic Theory of Concentration Phenomena - 1 online resource (xii, 216 pages) - URL: https://libweb.kpfu.ru/ebsco/pdf/2376057.pdf
dc.identifier.isbn	3110532433
dc.identifier.isbn	9783110532432
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/177993
dc.description	In English.
dc.description	Includes bibliographical references and index.
dc.description.abstract	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.
dc.description.tableofcontents	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
dc.language	English
dc.language.iso	en
dc.relation.ispartofseries	De Gruyter Series in Nonlinear Analysis and Applications. 33
dc.subject.other	Functional analysis.
dc.subject.other	MATHEMATICS -- Functional Analysis.
dc.subject.other	Functional analysis.
dc.subject.other	Electronic books.
dc.title	Concentration Compactness: Functional-Analytic Theory of Concentration Phenomena/ Cyril Tintarev.
dc.type	Book
dc.description.pages	1 online resource (xii, 216 pages)
dc.collection	Электронно-библиотечные системы
dc.source.id	EN05CEBSCO05C2479