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To order this title, and for more information, click here
Second Edition
By
Robert Adams, University of British Columbia, Vancouver, Canada
John Fournier, University of British Columbia, Vancouver, Canada
Included in series
Pure and Applied Mathematics,
Description
Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to
the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences.
This second edition of Adam's 'classic' reference text contains many additions and much modernizing and refining of material. The basic
premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for
graduate students and researchers alike.
Audience
Graduate students in Mathematics and Applied Mathematics. Researchers in Numerical Analysis and various Physical Sciences.
Contents
* Includes reviews of real analysis and an extensive treatment of Lebesgue spaces.
* Develops at length the intrinsic definition
and properties of Sobolev spaces, in particular their imbedding, compact imbedding, interpolation and extension properties.
* Provides
a thorough treatment of the real interpolation method and its application to Lorentz and Besov spaces.
* Includes surveys of other
fractional-order spaces (Bessel potentials, Triebel-Lizorkin).
* Develops the theory of Orlicz and Orlicz-Sobolev spaces and their
imbeddings.
| Bibliographic details |
Hardbound, 320 pages, publication date: JUN-2003
ISBN-13: 978-0-12-044143-3
ISBN-10: 0-12-044143-8
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
GBP 48 EUR 53.37 USD 129
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Last update: 3 Oct 2009
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