TY  - BOOK
AU  - Reich,Simeon
AU  - Shoiykhet,David
TI  - Nonlinear semigroups, fixed points, and geometry of domains in Banach spaces
SN  - 186094714X
AV  - QA427 .R45 2005eb
U1  - 515/.732 22
PY  - 2005///
CY  - London
PB  - Imperial College Press
KW  - Nonlinear theories
KW  - Banach spaces
KW  - Théories non linéaires
KW  - Espaces de Banach
KW  - MATHEMATICS
KW  - Transformations
KW  - bisacsh
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references and index; 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
N2  - 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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ER  -