ENGLISH

Concentration Compactness: Functional-Analytic Theory of Concentration Phenomena

By Cyril Tintarev

Book information

Publisher
de Gruyter
Year
2020
ISBN
9783110532432, 9783110530346
DOI
10.1515/9783110532432
Language
english
Format
PDF
Filesize
4 MB (3930299 bytes)
Series
De Gruyter Series in Nonlinear Analysis and Applications; 33
Pages
227\230
Library
degruyter.com
Time added
2023-07-24 19:23:06

Description

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. A comprehensive monograph on the state of the art of concentration compactness techniques Summary of the last ten years of research on the topic An authoritative overview of many deep results in modern functional analysis

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