Edition |
2nd ed. |
Description |
1 online resource (xiii, 305 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
Series |
Pure and applied mathematics ; v. 140 |
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Pure and applied mathematics (Academic Press) ; v. 140.
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Bibliography |
Includes bibliographical references (pages 295-300) and index. |
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. |
Note |
Print version record. |
Language |
English. |
Subject |
Sobolev spaces.
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Espaces de Sobolev.
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MATHEMATICS -- Functional Analysis.
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Sobolev spaces
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Espaços de sobolev.
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Added Author |
Fournier, John J. F.
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Other Form: |
Print version: Adams, R.A. (Robert Alexander), 1940- Sobolev spaces. 2nd ed. Amsterdam ; Boston : Academic Press, 2003 0120441438 9780120441433 (OCoLC)52824266 |
ISBN |
9781435608108 (electronic bk.) |
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1435608100 (electronic bk.) |
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9780080541297 (e-book) |
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0080541291 (e-book) |
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9780120441433 |
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0120441438 |
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128107246X (ebk.) |
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9781281072467 (ebk.) |
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9786611072469 |
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6611072462 |
Standard No. |
AU@ 000048131089 |
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AU@ 000054163327 |
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AU@ 000065426645 |
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AU@ 000069669117 |
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CHNEW 001007272 |
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DEBBG BV036962376 |
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DEBBG BV039830244 |
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DEBBG BV042317363 |
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DEBBG BV043044374 |
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DEBSZ 276802101 |
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DEBSZ 422326542 |
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DEBSZ 430442297 |
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DEBSZ 482357770 |
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NZ1 12433767 |
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NZ1 15192917 |
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UKMGB 017584921 |
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UKMGB 018378802 |
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