Spectral theory and differential operators
Author(s)
Bibliographic Information
Spectral theory and differential operators
（Oxford mathematical monographs）
Clarendon Press, 1987
Available at / 56 libraries
-
Research Institute for Economics & Business Administration (RIEB) Library , Kobe University図書
517-245s081000081389*
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:515.7/Ed242070050683
-
No Libraries matched.
- Remove all filters.
Note
Bibliography: p. [556]-566
Includes indexes
Reprinted (with corrections) 1990, 2002
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"
