ENGLISH

Concentration Analysis and Applications to PDE: ICTS Workshop, Bangalore, January 2012

By Adimurthi , Hajer Bahouri (auth.) , K. Sandeep , Ian Schindler , Cyril Tintarev (eds.)

Book information

Publisher
Birkhäuser Basel
Year
2013
ISBN
978-3-0348-0372-4, 978-3-0348-0373-1
DOI
10.1007/978-3-0348-0373-1
Language
english
Format
PDF
Filesize
2 MB (2010951 bytes)
Series
Trends in Mathematics
Edition
1
Pages
156\162
Time added
2014-01-18 08:00:00
Partial Differential Equations; Global Analysis an

Description

Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations. Since the introduction of concentration compactness in the 1980s, concentration analysis today is formalized on the functional-analytic level as well as in terms of wavelets, extends to a wide range of spaces, involves much larger class of invariances than the original Euclidean rescalings and has a broad scope of applications to PDE. This book represents current research in concentration and blow-up phenomena from various perspectives, with a variety of applications to elliptic and evolution PDEs, as well as a systematic functional-analytic background for concentration phenomena, presented by profile decompositions based on wavelet theory and cocompact imbeddings.

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