Concentration Analysis and Applications to Pde: Icts Workshop, Bangalore, January 2012 2013 Edition Contributor(s): Adimurthi (Editor), Sandeep, K. (Editor), Schindler, Ian (Editor) |
|
ISBN: 3034803729 ISBN-13: 9783034803724 Publisher: Birkhauser OUR PRICE: $104.49 Product Type: Hardcover Published: December 2013 |
Additional Information |
BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Mathematical Analysis - Mathematics | Functional Analysis |
Dewey: 514.74 |
Series: Trends in Mathematics |
Physical Information: 0.44" H x 6.14" W x 9.21" (0.91 lbs) 156 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |