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Book Cover
E-book
Author Adams, Robert A., 1940-

Title Sobolev spaces / Robert A. Adams and John J.F. Fournier
Edition 2nd ed
Published Amsterdam ; Boston : Academic Press, 2003

Copies

Description 1 online resource (xiii, 305 pages) : illustrations
Series Pure and applied mathematics ; v. 140
Pure and applied mathematics (Academic Press) ; v. 140.
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
Summary 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. * Self-contained and accessible for readers in other disciplines. * Written at elementary level making it accessible to graduate students
Bibliography Includes bibliographical references (pages 295-300) and index
Notes English
Print version record
Subject Sobolev spaces.
MATHEMATICS -- Functional Analysis.
Sobolev spaces
Espaços de sobolev.
Form Electronic book
Author Fournier, John J. F.
ISBN 9781435608108
1435608100
9780080541297
0080541291
9780120441433
0120441438
128107246X
9781281072467
9786611072469
6611072462