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

By:

Reich, Simeon

Contributor(s):

Shoiykhet, David, 1953-

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

186094714X
9781860947148
9781860945755
1860945759

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Nonlinear semigroups, fixed points, and geometry of domains in Banach spaces.DDC classification:

515/.732 22

LOC classification:

QA427 .R45 2005eb

Online resources:

Click here to access online

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.

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.

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Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references and index.

Print version record.

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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