From resolvent bounds to semigroup bounds

Details From resolvent bounds to semigroup bounds From resolvent bounds to semigroup bounds

2010-01-23

arxiv.org/abs/1001.4171v1

Mathematics

Functional Analysis

Scientific paper

The purpose of this note is to revisit the proof of the
Gearhardt-Pr\"uss-Hwang-Greiner theorem for a semigroup S(t), following the
general idea of the proofs that we have seen in the literature and to get an
explicit estimate on the norm of S(t) in terms of bounds on the resolvent of
the generator.

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