Spectral theory and differential operators
著者
書誌事項
Spectral theory and differential operators
（Oxford mathematical monographs）
Clarendon Press, 1987
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注記
Bibliography: p. [556]-566
Includes indexes
Reprinted (with corrections) 1990, 2002
内容説明・目次
内容説明
This book contains 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. The book also looks at essential spectra, non-compactness, eigenvalues, entropy and approximation numbers. The abstract theory is illustrated by results for embedding maps between Sobolev spaces and 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 provides a survey of the work that has been done in this area in recent years.
目次
- Linear operators in Banach spaces
- entropy numbers, s-numbers, and eigenvalues
- unbounded linear operators
- sesquilinear forms in Hilbert spaces
- Sobolev spaces
- generalized Dirichlet and Neumann boundary-value problems
- second-order differential operators on arbitrary open sets
- capacity and compactness criteria
- essential spectra
- essential spectra of general second-order differential operators.
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