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Sobolev spaces
~
Adams, R. A. (1940-)
Sobolev spaces
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Sobolev spacesRobert A. Adams and John J.F. Fournier.
作者:
Adams, R. A.
其他作者:
Fournier, John J. F.
出版者:
Amsterdam ;Academic Press,2003.
面頁冊數:
xiii, 305 p. :ill. ;24 cm.
標題:
Sobolev spaces.
電子資源:
An electronic book accessible through the World Wide Web; click for information
ISBN:
9780120441433
Sobolev spaces
Adams, R. A.1940-
Sobolev spaces
[electronic resource] /Robert A. Adams and John J.F. Fournier. - 2nd ed. - Amsterdam ;Academic Press,2003. - xiii, 305 p. :ill. ;24 cm. - Pure and applied mathematics ;v. 140. - Pure and applied mathematics (Academic Press) ;140..
Includes bibliographical references (p. [295]-300) and index.
* 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.
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.
Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.
Mode of access: World Wide Web.
ISBN: 9780120441433
Source: 98246:98248Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:
247270
Sobolev spaces.
Index Terms--Genre/Form:
214472
Electronic books.
LC Class. No.: QA3 / .P8 v. 140eb
Dewey Class. No.: 515.7
Sobolev spaces
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* 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.
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2007.
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