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 |
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VerfasserIn: | |
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 |
Online Access: | |
Physical Description: | 1 online resource (XI, 216 p.) |
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Other title: | 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 |
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Summary: | 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. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110532432 9783110696288 9783110696271 9783110647099 9783110659061 9783110704716 9783110704518 9783110704846 9783110704662 |
ISSN: | 0941-813X ; |
DOI: | 10.1515/9783110532432 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Cyril Tintarev. |