Concentration Analysis and Applications to PDE

ICTS Workshop, Bangalore, January 2012

  •  Adimurthi
  • K. Sandeep
  • Ian Schindler
  • Cyril Tintarev

Part of the Trends in Mathematics book series (TM)

About these proceedings

Introduction

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.

The 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.

Editors and affiliations

  •  Adimurthi
    • 1
  • K. Sandeep
    • 2
  • Ian Schindler
    • 3
  • Cyril Tintarev
    • 4
  1. 1.Centre for Applicable Mathematics Post Bag No. 6503, GKVK Post OfficeTata Institute of Fundamental ResearchBangaloreIndia
  2. 2.Centre for Applicable Mathematics Post Bag No. 6503, GKVK Post OfficeTata Institute of Fundamental ResearchBangaloreIndia
  3. 3.CeReMathUniversité Toulouse IToulouseFrance
  4. 4.Department of MathematicsUppsala UniversityUppsalaSweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0373-1
  • Copyright Information Springer Basel 2013
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0372-4
  • Online ISBN 978-3-0348-0373-1
  • About this book