One-parameter Semigroups
Published in September 1987
Book
Hardback
322 pages
978-0-444-70284-5 (ISBN)
Description
The theory of semigroups of operators was initiated by E. Hille in his monograph ``Functional Analysis and Semigroups'' which appeared in 1948. In the years thereafter the theory was developed further by W. Feller, T. Kato, R.S. Phillips, K. Yosida and many others. The possible range of applications is enormous and includes problems in mathematical physics, probability theory and control theory. The purpose of this book is to illustrate the richness of the theory of one-parameter semigroups by examining some of its various aspects. It is written in such a way that all three parts can be read more or less independently; it is assumed that the reader is familiar with some of the basic principles of functional analysis.
The theory of semigroups of operators was initiated by E. Hille in his monograph ``Functional Analysis and Semigroups'' which appeared in 1948. In the years thereafter the theory was developed further by W. Feller, T. Kato, R.S. Phillips, K. Yosida and many others. The possible range of applications is enormous and includes problems in mathematical physics, probability theory and control theory. The purpose of this book is to illustrate the richness of the theory of one-parameter semigroups by examining some of its various aspects. It is written in such a way that all three parts can be read more or less independently; it is assumed that the reader is familiar with some of the basic principles of functional analysis.
The theory of semigroups of operators was initiated by E. Hille in his monograph ``Functional Analysis and Semigroups'' which appeared in 1948. In the years thereafter the theory was developed further by W. Feller, T. Kato, R.S. Phillips, K. Yosida and many others. The possible range of applications is enormous and includes problems in mathematical physics, probability theory and control theory. The purpose of this book is to illustrate the richness of the theory of one-parameter semigroups by examining some of its various aspects. It is written in such a way that all three parts can be read more or less independently; it is assumed that the reader is familiar with some of the basic principles of functional analysis.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 240 mm
Width: 160 mm
ISBN-13
978-0-444-70284-5 (9780444702845)
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Schweitzer Classification
Content
1. Introduction. I. Contraction Semigroups. 2. Nonlinear Contraction Semigroups and Dissipative Operators (Ph. Clement). 3. Generation of Linear Semigroups (Ph. Clement; Section 3.5 by H.J.A.M. Heijmans). 4. L 1 -Semigroup Theory of Nonlinear Diffusion (C.J. van Duijn). II. Analytic Semigroups. 5. The Calculus of Analytic Semigroups (S. Angenent). 6. Interpolation and Maximal Regularity (S. Angenent). III. Positive Semigroups. 7. Generators of Positive Semigroups (B. de Pagter). 8. Perron-Frobenius Theory for Positive Semigroups (H.J.A.M. Heijmans). 9. Asymptotic Behaviour (H.J.A.M. Heijmans and B. de Pagter). 10. Two Examples from Structured Population Dynamics (H.J.A.M. Heijmans). Appendices: Convex Functions (B. de Pagter). Ordered Banach Spaces (B. de Pagter). Some Results from Spectral Theory (H.J.A.M. Heijmans). Bibliographical Notes. Bibliography. Index.