Spectral theory and differential operators
Author(s)
Bibliographic Information
Spectral theory and differential operators
(Oxford mathematical monographs)
Clarendon Press, 1987
Available at 56 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
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"