Semigroup structure underlying evolutions.
TL;DR: In this article, a member of a class of evolution systems is defined by averaBing a one-parameter family of invertible transformations with a semigroup T. The resulting evolution system, U(t,s) G(t)T(t-s)G(s) -1, preserves continuity and strong continuity, and may have an identifiable generator and resolvent both of which are constructed from T.
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Abstract: A member of a class of evolution systems is defined by averaBing a one- parameter family of invertible transformations G with a semigroup T The resulting evolution system, U(t,s) G(t)T(t-s)G(s) -1, preserves continuity and strong continuity, and in case G is a linear family, may have an identifiable generator and resolvent both of which are constructed from T. Occurrences of the class of evolutions are given to show possible applications.
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Robert H Martin
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Nonlinear evolution equations in Banach spaces
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