Concentration Compactness: Functional-Analytic Theory of Concentration Phenomena
Cyril Tintarev
Feb 2020 · De Gruyter Series in Nonlinear Analysis and Applications Ibhuku elingu-33 · Walter de Gruyter GmbH & Co KG
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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.
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Cyril Tintarev, Technion - Israel Institute of Technology, Israel
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