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- W2953075995 abstract "We study some fundamental properties of semicocycles over semigroups of self-mappings of a domain in a Banach space. We prove that any semicocycle over a jointly continuous semigroup is itself jointly continuous. For semicocycles over semigroups which have generator, we establish a sufficient condition for differentiablity with respect to the time variable, and hence for the semicocycle to satisfy a linear evolution problem, giving rise to the notion of `generator' of a semicocycle. Bounds on the growth of a semicocycle with respect to the time variable are given in terms of this generator. Special consideration is given to the case of holomorphic semicocycles, for which we prove an exact correspondence between certain uniform continuity properties of a semicocyle and boundedness properties of its generator." @default.
- W2953075995 created "2019-06-27" @default.
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- W2953075995 date "2018-07-26" @default.
- W2953075995 modified "2023-09-27" @default.
- W2953075995 title "Continuous and holomorphic semicocycles in Banach spaces" @default.
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