Title

On the relation between the semigroup and its infinitesimal generator

Document Type

Article

Publication Date

1-1-1987

Abstract

We prove that for a semigroup generator A the solutions of u′(t) = Au(t) and u(0) = x are completely determined by the resolvent of A along an equidistant sequence (so + nr)nNr∈R, s0∈C, of points in the resolvent set of A. © 1987 American Mathematical Society.

Publication Source (Journal or Book title)

Proceedings of the American Mathematical Society

First Page

104

Last Page

108

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