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Concentration Compactness (2020)

English | 2020 | ISBN: 3110530341 | 231 Pages | PDF | 5 MB

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.