Spectral theory and differential operators /
This comprehensive and long-awaited volume provides an up-to-date account of those parts of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. For the first time it brings together recent results in essential...
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Other Authors: | |
Format: | Book |
Language: | English |
Published: |
Oxford [Oxfordshire] : New York :
Clarendon Press ; Oxford University Press,
1987
Oxford [Oxfordshire] : Oxford [Oxfordshire] New York : 1987 Oxford [Oxfordshire] : New York : 1987 Oxford [Oxfordshire] : New York : 1987 |
Series: | Oxford mathematical monographs
Oxford science publications Oxford mathematical monographs Oxford science publications |
Subjects: |
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100 | 1 | |a Edmunds, D. E |q (David Eric) |0 http://viaf.org/viaf/93980503 | |
100 | 1 | |a Edmunds, D. E |q (David Eric) |1 http://viaf.org/viaf/93980503 | |
100 | 1 | |a Edmunds, D. E |q (David Eric) | |
245 | 1 | 0 | |a Spectral theory and differential operators / |c D.E. Edmunds, W.D. Evans |
260 | |a Oxford [Oxfordshire] : |b Clarendon Press ; |a New York : |b Oxford University Press, |c 1987 | ||
260 | |a Oxford [Oxfordshire] : |b Clarendon Press ; |a Oxford [Oxfordshire] |a New York : |b Oxford University Press, |c 1987 | ||
260 | 0 | |a Oxford [Oxfordshire] : |b Clarendon Press ; |a New York : |b Oxford University Press, |c 1987 | |
263 | |a 8705 | ||
264 | 1 | |a Oxford [Oxfordshire] : |b Clarendon Press ; |a New York : |b Oxford University Press, |c 1987 | |
300 | |a xvi, 574 p. ; |c 23 cm | ||
300 | |a xvi, 574 p. ; |c 24 cm | ||
300 | |a xvi, 574 p. ; |c 25 cm | ||
300 | |a xvi, 574 pages ; |c 24 cm | ||
300 | |a xvi, 574 pages ; |c 25 cm | ||
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440 | 0 | |a Oxford mathematical monographs | |
440 | 0 | |a Oxford science publications | |
490 | 1 | |a Oxford mathematical monographs | |
490 | 1 | |a Oxford science publications | |
500 | |a Includes indexes | ||
500 | |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |5 CTY | ||
504 | |a Bibliography: p | ||
504 | |a Bibliography: p. 556-566 | ||
504 | |a Bibliography: p. [556]-566 | ||
504 | |a Bibliography: pages [556]-566 | ||
505 | 0 | 0 | |a Machine derived contents note: 1. Linear Operators in Banach Spaces -- 2. Entropy Numbers, S-Numbers, and Eigenvalues -- 3. Unbounded Linear Operators -- 4. Sesquilinear Forms in Hilbert Spaces -- 5. Sobolev Spaces -- 6. Generalized Dirichlet and Neumann Boundary-Value Problems -- 7. Second-Order Differential Operators on Arbitrary Open Sets -- 8. Capacity and Compactness Criteria -- 9. Essential Spectra -- 10. Essential Spectra of General Second-Order Differential Operators -- 11. Global and Asymptotic Estimates for the Eigenvalues of -Delta+q when q is Real -- 12. Estimates for the Singular Values of -Delta+q when q is Complete |
520 | |a This comprehensive and long-awaited volume provides an up-to-date account of those parts of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. For the first time it brings together recent results in essential spectra, measures of non-compactness, entropy numbers, approximation numbers, eigenvalues, and the relationships among these concepts. The authors illustrate abstract theory with results for embedding maps between Sobolev spaces. Strong emphasis is placed on application to boundary-value problems for general second-order linear elliptic equations in an arbitrary domain in Rn. The book introduces some key eastern European work, never before available in English translation | ||
599 | |a GRSN 333361 | ||
650 | 0 | |a Differential operators | |
650 | 0 | |a Spectral theory (Mathematics) | |
650 | 7 | |a Differential operators |2 fast | |
650 | 7 | |a Spectral theory (Mathematics) |2 fast | |
700 | 1 | |a Evans, W. D |0 http://viaf.org/viaf/271340472 | |
700 | 1 | |a Evans, W. D | |
700 | 1 | 0 | |a Evans, W. D |1 http://viaf.org/viaf/271340472 |
776 | 0 | 8 | |i Online version: |a Edmunds, D. E. (David Eric) |t Spectral theory and differential operators |d Oxford [Oxfordshire] : Clarendon Press ; New York : Oxford University Press, 1987 |w (OCoLC)1086002300 |
830 | 0 | |a Oxford mathematical monographs | |
830 | 0 | |a Oxford science publications | |
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