Dissipativity of the delay semigroup

Details Dissipativity of the delay semigroup Dissipativity of the delay semigroup

2012-02-16

arxiv.org/abs/1202.3792v1

Mathematics

Functional Analysis

Scientific paper

It is shown that under mild conditions a delay semigroup can be transformed
into a (generalized) contraction semigroup by changing the inner product on the
(Hilbert) state space into an equivalent inner product. Applications in the
field of stochastic evolution equations with delay are given as example.

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