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" Nonlinear semigroups, fixed points, and geometry of domains in Banach spaces / "
Simeon Reich, David Shoikhet.
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BL
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| Record Number
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1029151
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b783521
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| Main Entry
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Reich, Simeon.
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| Title & Author
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Nonlinear semigroups, fixed points, and geometry of domains in Banach spaces /\ Simeon Reich, David Shoikhet.
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| Publication Statement
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London :: Imperial College Press,, ©2005.
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1 online resource (xv, 354 pages)
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| ISBN
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1860945759
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: 186094714X
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: 9781860945755
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: 9781860947148
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Includes bibliographical references and index.
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| Contents
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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.
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| Abstract
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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.
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Banach spaces.
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Nonlinear theories.
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Banach spaces.
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MATHEMATICS-- Transformations.
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Nonlinear theories.
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| Dewey Classification
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515/.732
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| LC Classification
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QA427.R45 2005eb
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| Added Entry
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Shoiykhet, David,1953-
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