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Author Reich, Simeon.
Title Nonlinear semigroups, fixed points, and geometry of domains in Banach spaces / Simeon Reich, David Shoikhet.
Imprint London : Imperial College Press, [2005]

Author Reich, Simeon.
Subject Nonlinear theories.
Banach spaces.
Alt Name Shoiykhet, David, 1953-
Description 1 online resource (xv, 354 pages)
polychrome rdacc
Bibliography Note Includes bibliographical references and index.
Note Print version record.
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 Mappings in metric and normed spaces -- Differentiate and holomorphic mappings in banach spaces -- Hyperbolic metrics on domains in complex banach spaces -- Some fixed point principles -- The Denjoy-Wolff fixed point theory -- Generation theory for one-parameter semigroups -- Flow-invariance conditions -- Stationary points of continuous semigroups -- Asymptotic behavior of continuous flows -- Geometry of domains in banach spaces.
ISBN 186094714X (electronic bk.)
OCLC # 71291234
Additional Format Print version: Reich, Simeon. Nonlinear semigroups, fixed points, and geometry of domains in Banach spaces. London : Imperial College Press, ©2005 1860945759 (DLC) 2006277235 (OCoLC)61701935.

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