Metric domains, holomorphic mappings and nonlinear semigroups
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Publication:5926227
DOI10.1155/S1085337598000529zbMath0993.47040OpenAlexW2036461124MaRDI QIDQ5926227
David M. Shoikhet, Simeon Reich
Publication date: 28 February 2001
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/49382
Cauchy problemexistence of the infinitesimal generatorexponential formulasholomorphic retractionsnonlinear semigroups of holomorphic mappingsstationary point sets
Semigroups of nonlinear operators (47H20) Nonlinear differential equations in abstract spaces (34G20) Infinite-dimensional holomorphy (46G20)
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Ergodicity, numerical range, and fixed points of holomorphic mappings ⋮ Theorems of Denjoy-Wolff type ⋮ Loewner chains and nonlinear resolvents of the Carathéodory family on the unit ball in \(\mathbb{C}^n\) ⋮ Differentiability of semigroups of Lipschitz or smooth mappings ⋮ Another look at the Burns-Krantz theorem ⋮ A flower structure of backward flow invariant domains for semigroups ⋮ Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds ⋮ Boundary regular fixed points in Loewner theory ⋮ Infinitesimal generators of evolution families of nonexpansive mappings ⋮ Geometric properties of the nonlinear resolvent of holomorphic generators ⋮ Kœnigs-type linearization models and asymptotic behavior of one-parameter semigroups ⋮ Coefficient body for nonlinear resolvents ⋮ The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces ⋮ The product formula and evolution families of nonexpansive mappings ⋮ Classical and Stochastic Löwner–Kufarev Equations
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