Generation theory for semigroups of holomorphic mappings in Banach spaces

DOI10.1155/S1085337596000012zbMath0945.46026OpenAlexW2073925961MaRDI QIDQ1809781

Simeon Reich, David M. Shoikhet

Publication date: 27 January 2000

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48527

zbMATH Keywords

resolventfixed point theoryCauchy problemhyperbolic metricexponential formulaLie generatorspectral characteristicsinfinitesimal operatorsdifference approximationsglobal version of the implicit function theoremLipschitzian holomorphic mappingsemi-plus complete vector fieldssemigroups of holomorphic mapping in Banach spacesstructure of the null point sets of generatorsuniform fixed point principle

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Infinite-dimensional holomorphy (46G20)

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