| Growth estimates for $\exp(A^{-1}t)$ on a Hilbert space (2007) | |||||||||||
Abstract | |||||||||||
| Let $A$ be the infinitesimal generator of an exponentially stable, strongly continuous semigroup on the Hilbert space $H$. Since $A^{-1}$ is a bounded operator, it is the infinitesimal generator of a strongly continuous semigroup. In this paper we show that the growth of this semigroup is bounded by a constant times $\log(t)$. | |||||||||||
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