Concentration Compactness Functional-Analytic Theory of Concentration Phenomena

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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Главный автор: Tintarev, Kyril
Формат: Электронная книга
Язык:English
Публикация: Berlin ; Boston De Gruyter, [2020]
Серии:De Gruyter Series in Nonlinear Analysis and Applications ; 33
Предметы:
Online-ссылка:EBSCOhost
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100 1 |a Tintarev, Kyril  |9 909256 
245 1 0 |a Concentration Compactness  |b Functional-Analytic Theory of Concentration Phenomena  |c Cyril Tintarev. 
264 1 |a Berlin ;  |a Boston  |b De Gruyter,  |c [2020] 
300 |a 1 online resource (xii, 216 pages) 
347 |a text file  |b PDF  |2 rda 
490 0 |a De Gruyter Series in Nonlinear Analysis and Applications ;  |v 33 
504 |a Includes bibliographical references and index. 
505 0 0 |t Frontmatter --  |t Preface --  |t Contents --  |t 1. Profile decomposition: a structured defect of compactness --  |t 2. Delta-convergence and weak convergence --  |t 3. Cocompact embeddings with the rescaling group --  |t 4. Profile decomposition in Banach spaces --  |t 5. More cocompact embeddings --  |t 6. Profile decompositions on subsets --  |t 7. Global compactness on Riemannian manifolds --  |t 8. Functions of bounded variation. Sobolev spaces on fractals --  |t 9. Sample applications to variational problems --  |t 10. Appendix --  |t Common notations --  |t Bibliography --  |t Index 
520 |a 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. 
546 |a In English. 
588 0 |a Online resource; title from PDF title page (publisher's Web site, viewed 29. Feb 2020). 
653 0 |a Functional analysis. 
653 7 |a MATHEMATICS  |x Functional Analysis.  |2 bisacsh 
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