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
Recommended Citation
Neubrander, F. (1987). On the relation between the semigroup and its infinitesimal generator. Proceedings of the American Mathematical Society, 100 (1), 104-108. https://doi.org/10.1090/S0002-9939-1987-0883409-5
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