Franklin

Nonlinear semigroups, fixed points, and geometry of domains in Banach spaces [electronic resource] / Simeon Reich, David Shoikhet.

Author/Creator:
Reich, Simeon.
Publication:
London : Imperial College Press, c2005.
Format/Description:
Book
1 online resource (372 p.)
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Subjects:
Nonlinear theories.
Banach spaces.
Form/Genre:
Electronic books.
Language:
English
Summary:
Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces. Readers are provided with a systematic overview of many results concerning both nonlin
Contents:
Preface; Contents; Chapter 1 Mappings in Metric and Normed Spaces; Chapter 2 Differentiable and Holomorphic Mappings in Banach Spaces; Chapter 3 Hyperbolic Metrics on Domains in Complex Banach Spaces; Chapter 4 Some Fixed Point Principles; Chapter 5 The Denjoy-Wolff Fixed Point Theory; Chapter 6 Generation Theory for One-Parameter Semigroups; Chapter 7 Flow-Invariance Conditions; Chapter 8 Stationary Points of Continuous Semigroups; Chapter 9 Asymptotic Behavior of Continuous Flows; Chapter 10 Geometry of Domains in Banach Spaces; Bibliography; Index
Notes:
Description based upon print version of record.
Includes bibliographical references and index.
Contributor:
Shoiykhet, David, 1953-
ISBN:
1-281-86695-4
9786611866952
1-86094-714-X
OCLC:
476064067