Trends in Mathematics

Concentration Analysis and Applications to PDE

ICTS Workshop, Bangalore, January 2012

Editors: Adimurthi, Sandeep, K., Schindler, I., Tintarev, C. (Eds.)

  • Unique collection of contributions of experts from different areas of analysis
  • Presents a variety of approaches to concentration and blow-up phenomena in PDE
  • Contains also survey articles aimed to help the reader’s orientation in a diverse and complicated array of methods
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eBook $69.99
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  • ISBN 978-3-0348-0373-1
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  • ISBN 978-3-0348-0372-4
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About this book

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.

Table of contents (8 chapters)

  • On the Elements Involved in the Lack of Compactness in Critical Sobolev Embedding

    Bahouri, Hajer

    Pages 1-15

  • A Class of Second-order Dilation Invariant Inequalities

    Caldiroli, Paolo (et al.)

    Pages 17-28

  • Blow-up Solutions for Linear Perturbations of the Yamabe Equation

    Esposito, Pierpaolo (et al.)

    Pages 29-47

  • Extremals for Sobolev and Exponential Inequalities in Hyperbolic Space

    Mancini, Gianni (et al.)

    Pages 49-67

  • The Ljapunov–Schmidt Reduction for Some Critical Problems

    Pistoia, Angela

    Pages 69-83

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-0373-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-0348-0372-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Concentration Analysis and Applications to PDE
Book Subtitle
ICTS Workshop, Bangalore, January 2012
Editors
  • Adimurthi
  • K. Sandeep
  • Ian Schindler
  • Cyril Tintarev
Series Title
Trends in Mathematics
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0373-1
DOI
10.1007/978-3-0348-0373-1
Hardcover ISBN
978-3-0348-0372-4
Series ISSN
2297-0215
Edition Number
1
Number of Pages
X, 156
Number of Illustrations and Tables
118 b/w illustrations, 1 illustrations in colour
Topics