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

Format:

Book

Author/Creator:

Reich, Simeon.

Contributor:

Shoiykhet, David, 1953-

Language:

English

Subjects (All):

Nonlinear theories.

Banach spaces.

Physical Description:

1 online resource (372 p.)

Edition:

1st ed.

Place of Publication:

London : Imperial College Press, c2005.

Language Note:

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.

ISBN:

9786611866952

9781281866950

1281866954

9781860947148

186094714X

OCLC:

476064067